For some reason the first person mode is really messed up, aiming a bow in third person is also quite strange.I have tried a few first person enhancement mods and in the end disabled them all, I also installed the XP32 mod, but the problem still persists even after disabling all those mods.
I had the exact same problem. To add onto what akselmo said, it is indeed Immersive First Person View which causes the trouble. The problem is that you failed one simple but crucial step before uninstalling - making sure you were not in first person view. The fix is simple: load up the save with IFPV then switch to third person view and save and quit, then remove IFPV. That's it. It even says to do this on the nexus page, something which I also initially missed.
Make sure the DLL file from Data/SKSE/Plugins/FirstPersonPlugin.dll got removed properly. Make sure you are not using Joy of perspective skeleton. Make sure you were not in my mod's first person view on that save game when you uninstalled.
So you may need to reactivate the mod, reset the mods settings to default/press the uninstall button, enable the normal first person view or third person view before saving and then quit the game and uninstall the mod.
Ah! I have this too. I mainly play in first person so I never noticed this. The only time I go into third person is while on a horse. Looks like an animation issue and could be that it just needs to be updated by the author. 2b1af7f3a8