They are all generally synonymous, however when you use any personal pronoun, you should use the possessive, so "my friends" (in 2, 3 and 5). Personally, 3 is the best option, with the possessive pronoun "I feel good hanging out with *my* friends". You can also change "feel good" to "enjoy", e.g. a more common expression would be; "I enjoy hanging out with my friends"

Sentences 1, 4, and 5 are all sentences that I think a native English speaker would use. Sentences two and three sound strange to me. 1 and 4 are more general than sentence 5. Sentences 1 and 4 might be about you, but they might also be about other people. In sentence number five, you use the word "me", so the sentence is only about you. I'm going to change the verb in the sentences to explain again. 1. It feels good to eat carrots. *Maybe you mean that everybody feels good when they eat carrots. Maybe you only mean you.* 4. It is good to eat carrots. *Eating carrots is healthy! It's good for you! Everybody should try it, because it is good.* 5. It makes me feel good to eat carrots. *You feel good when you eat carrots, but maybe other people don't.*. This difference is only very small, and it doesn't apply to every situation. Sentences 1, 4, and 5 are very close to the same, but sometimes the feeling is a little different.

They're all correct apart from number 2. :)