Who has the right of way at an intersection next to a parking lot in Canada? Suppose you pull up to an intersection and you want to make a turn, but there's a parking lot next to you that feeds out onto the same street you're trying to turn onto, or you're trying to pull out of a parking lot that is beside another that feeds onto the same street. Basically, if you have two cars that are pretty much side by side, who has the right of way? Who gets to go first? Who has the right of way?
Interesting question! I believe all of the examples can be addressed by the following rules: A vehicle on a roadway has the right-of-way over a vehicle not on a roadway. Therefore, the vehicle leaving a parking lot always yields to a vehicle in a parallel road. Absent another rule, the vehicle on the right always has the right-of-way. So if two vehicles are leaving adjacent parking lots, the left one waits for the right one to go if there is any potential conflict. Of course, not enough people know these rules, so in practice if you can't get the vehicle with the legal right-of-way to take it I teach drivers to be as decisive and cautious as possible: I.e., take the right-of-way, but not so fast that you can't avoid the other vehicle if it decides to go after all, because legally you will be at fault in a collision. (Though it's anyone's guess how police and insurers would settle the tricky scenarios you illustrate.)
You are free to ask them to stop. If they do, great. If they don’t, you legal options depend on if they are legally able to make such noise at that time or not. I am not familiar with UK law but typical laws give wide powers to the owners of infrastructure to construct/repair it. Again, typically, permits may be required but exceptions exist for urgent work. If they have such a permit (or don’t need one) your legal options are nil. If they don’t you can go to court seeking an injunction to stop them until they do.
Let me give you a simple, even if rather silly example: You take me to a civil court. You tell the judge "gnasher regularly parks his blue car in front of my home, and the color blue violates my sense of beauty. Judge, make him stop it. " A question of fact would be: Is my car actually blue? Not green, or red? And do I actually park my car in front of your home, and do so regularly? A question of law would be: Am I allowed by law to park my car in front of your home, even when my car has a color that you don't like? If this goes to a civil court, the judge would look at it and probably say: "Even if all the facts that 'Gimme the 401' claimed are true, as a matter of law there would be no case for gnasher to answer, since these actions would be permitted by law". If the judge decided that it is illegal to park cars in offensive colours in front of someone else's home as a matter of law, the court would then have to decide the facts: Whether what you claimed is actually the truth. (And while this example is silly, there have been people claiming that the neighbour's use of WiFi interfered with their health. And by law it is illegal to interfere with someone's health, so the facts would have to be examined).
A person who impounds your vehicle has a duty to keep the vehicle secure until it is released, so you might be able to sue the operator of the lot for damages. An exception would be if the lot is actually operated by the government. Under the doctrine of sovereign immunity, you can't sue the government for messing things up, unless they have passed a law allowing themselves to be sued, which is unlikely. So it depends on who exactly had the vehicle, and in what jurisdiction. Your lawyer could tell you whether you have any recourse. You might be able to take advantange Baker v. City of McKinney, which made a federal case out of police property destruction, via the Takings Clause.
You are not reading a law book here and you should not interpret a driving test so literally. It's quite clear that the question implies you should follow all of their instructions regarding how to proceed through traffic. Sometimes those instructions do involve "breaking laws" such as driving on the wrong side of the road or proceeding through a traffic signal that was not turned off. The B option clearly does not mean they have the power to disobey all laws in existence, only those concerning traffic as evidenced by the examples given. You are not Sheldon Cooper and you should know how to interpret a vague question correctly. You are also not a gopher, and you can correctly deduce that crashing into another car or driving off the cliff into the water is not in your best interests, and that calling the police to report someone abusing their position is probably a good idea. If you're concerned by the wording, try contacting the California DMV to have them clarify the wording.
In general in the US, anyone may photograph anyone else if they are all in a public place, although in some states such a photo may not be used commercially without permission, which must often be paid for and may be refused. It is unusual for police to photograph people on the street, but they might want to document who was present at a particular place and time. They can do so, but I am not at all sure that they can prevent a person from covering his or her face, or turning his or her back, or charge a person who does so with obstruction. I don't think so. Under some circumstances in the US police may ask a person for identification, and may charge a person who refuses to provide it. This varied from one state to another, and usually depends on the specific circumstances. (If a person is driving an automobile, police may demand to see a driver's license, for example.) Unless a police officer puts a person under arrest, the officer has no general right to control that person's actions, beyond instructing the person not to interfere with ongoing police work. I do not think an obstruction charge would hold up for covering one's face or turning away in the absence of an arrest.
We need to assume that the stop was legal (not a high hurdle to clear), that is, there was some reason to stop you. Even so, following Utah v. Strieff, police don't actually have to have a reasonable suspicion to stop you and if in the course of an ID check they discover that you have a warrant out for your arrest, the arrest is still legal. So if the police stop you, RCW 46.61.020(1) says: It is unlawful for any person while operating or in charge of any vehicle to refuse when requested by a police officer to give his or her name and address and the name and address of the owner of such vehicle, or for such person to give a false name and address, and it is likewise unlawful for any such person to refuse or neglect to stop when signaled to stop by any police officer or to refuse upon demand of such police officer to produce his or her certificate of license registration of such vehicle, his or her insurance identification card, or his or her vehicle driver's license or to refuse to permit such officer to take any such license, card, or certificate for the purpose of examination thereof or to refuse to permit the examination of any equipment of such vehicle or the weighing of such vehicle or to refuse or neglect to produce the certificate of license registration of such vehicle, insurance card, or his or her vehicle driver's license when requested by any court. Any police officer shall on request produce evidence of his or her authorization as such. There is no law that says "you have to provide ID only if accused of a crime", or "police can pull you over only if you are suspected of a crime". Various traffic infractions will get you pulled over but are not crimes; random sobriety checks are legal. However, note that the requirement to provide ID applies to the operator. There is no law requiring citizens to carry identification papers (but there is a law requiring a vehicle operator to carry a specific form of ID). In some states there are "stop and identify" laws which allow police to demand ID from a person suspected of a crime, but Washington does not have such a law.
The only really authoritative source of answers is a court interpreting the laws on an as applied basis (and there are many U.S. traffic laws, one in every state and sometimes additional local ones, not a single U.S. traffic law). An answer from a government official or police department is not authoritative, although it may be informative of how the official in question would enforce the law.