research
no
Anything illegal in the real world such as piracy and child research
Pretty sure piracy gets you a week or two banishment, CP on the other hand would most definitely get you permanently banned and the offending post deleted.
any appeals to it will be ignored
No, they won't. Appeals weren't ignored at all back when IP banning was still in effect.
Admittance to trolling. Even indirect admittance (the wiki vandalism case) or inverse admittance (saying "I'm not trolling", example is the X Mod ban) is bannable if there's enough evidence.
Again, most of the time it's a week or two.
Best advice I recommend is to not be a moron.