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[LOTR/The Hobbit (movies)] Couple questions (spoilers)

Watching the new hobbit movies for the first time, and i'm confused on a couple things:

  1) If the ring is what gave Gollum an unnaturally long life, shouldn't he have died after he lost it? When Bilbo gave it up in the first LOTR movie he later seemed really weak, and yet Gollum lives 60 years longer after losing the ring. Why was Gollum unaffected by losing it? 

  2) In the first Hobbit movie, Saruman is still a good guy, but when LOTR starts he's evil. What happened in the 60 year gap to turn him evil? This stuck out especially because of his dislike of Gandalf causing trouble with the dwarves, to only have him become a bastard in the later films. 

Searched for these questions and didn't find anything. Also don't know anything about the books, so my apologies if the answers are obvious to book readers.
gpt
1. Gollum would only have lost his long lifespan if the One Ring was destroyed; while the Ring existed it still sustained him. Peter Jackson messed up and had Bilbo age a lot after giving up the Ring.
2. Saruman had been a traitor to some degree for many decades before the events of The Hobbit, but he was only revealed during the events of LotR. He was always interested in Ring-lore and other arts of the Enemy, originally just to learn how to better oppose Sauron. But eventually he came to think that it would be better if the Wise increased their power as much as possible and took control of Middle-earth, allegedly for the benefit of everyone. He was convinced that the One Ring would provide the necessary power and so he began to search for it himself. He also opposed Gandalf's proposals of attacking Sauron, hoping that if Sauron got strong enough the One Ring would reveal itself openly and he could claim it. But during the events of The Hobbit he decided that Sauron was too likely to find the Ring if things kept going the way they were, and he finally agreed to the attack on Dol Guldur. Then he took Isengard for his own and began to use the palantir. Sauron had a palantir of his own (stolen from Minas Morgul, originally a fortress of Gondor), and Saruman quickly became fully ensnared by Sauron's evil.