In perfect world I wouldn't need to ask this question, because I would run on console, but since world isn't perfect, here I am. I know that N64 are somewhat inaccurate and some of them are banned on SRL, so I'd like to know which one to use
There's really no right or wrong N64 emulator to use since they all are inaccurate. If you're looking of putting up times on a leaderboard, ask that game's forums about what emulator is allowed.
If you just wanna play N64 games, casually or fast, just use Project 64
You're right that N64 emulation in general is not very accurate, and so each game's community will generally specify in the rules which emulator(s) and versions are allowed.
For instance, from the Super Mario 64 ruleset: "You must use either Project64 v1.6 or OpenEmu (for Mac users). All other emulators and versions (such as Mupen64 and Project64 v1.7 & v2.0+) are banned."
From the Pokemon Stadium 2 ruleset: "The only allowed emulator is Project 64 v1.6. All other emulators are banned."
From the Ocarina of Time ruleset: "You must use Project64 1.6 or 1.7. All other emulators and versions (such as Mupen64/Bizhawk/Project64 2.0+) are banned"
tl;dr there's no concrete answer but each game will tell you what is and isn't allowed.
Emulator revisions are almost universally made to boost performance but not necessarily accuracy. It's likely that the later versions have faster loading times or framerates that the original hardware cannot match.
Banned for those games. The speed police aren't going to throw you in speed jail for using 2.3 to play Chef's Luv Shack