they like to play with other monkeys and branches
I think so. At my local zoo, the monkeys had toys and play with and on them quite often. They consist of: Balls, slides, ropes, and other toys that humans often play with.
the type of mokey that eats other monkeys are cimpanzees
yes, even other howler monkeys
no
Other monkeys.
Yes, monkeys love other monkey of opposite genders, except for homosexual monkeys, which love other monkeys of the same gender.
No, but if they are out of hand they will move them from other monkeys (if they're bothering other monkeys)
Monkeys play tug for fun and toy fighting?
Monkeys show affection to other monkeys by grooming them or even massaging them. Yes, you read that correctly, some monkeys do massage other monkeys. And they love it. They will also do this to try and make peace with another monkey.
other monkeys
they wait for other monkeys