Yes, why not? :P

As I understand it, Fanpop does ban persistently offending trolls. Possibly they get a warning first, but I'm sure I've heard of some accounts being closed for trolling or offensive posts.

They already do.

I don't think they should just straight up ban them because anyone can report anyone and call them a troll. I have known users who reported others just because they disagreed with them (and called users trolls for the same thing). I think that the moderators need to make sure the reports are justified before banning people. Innocent until proven guilty.

As Flicker said, they already do bad persistent trolls.

^Of course, if they did ban trolls - or react to trolling in any way to punish the trolls - they would have to investigate and confirm the trolling first. But again, I'm pretty sure that this is done.

Actual trolls, yes. link, no.

^ !!!

yes, if they're very rude and annoying other people they sure as heck deserve a very lovely ban if you ask me.