so is thing wrong for my Fiancee? he won't give me his Facebook password?

[Annoyingcircle948]

so today he changed his password, i asked him why he did (all i do is read his messages and i trust him, i just read messages when i'm bored.) so i tried to log into his Facebook it says the password has been changed at 10:24 PM, he said it's not a good idea that i go on his Facebook yet he gave me his password when i said no but after he kept saying for me to have his password 5 times i said fine and he gave it to me, he has my Facebook password, is this fair, he demands for mine to check if i quit my Facebook groups or not and gets jealous when i talk to guy friends.
i check his messages for fun, i never question or get upset, he was okay with it.
it isn't doomed because i just read for fun, he says he gets jealous when guys message me. once i was playing games with some friends and he said i like the game more than him and he got mad, i said i don't i'm just playing the game for fun.