The questions which are worth asking are:
1) The type of servers your account is going to be hosted on and the number of accounts on the server;
2) The type of panel installed and possible tuts on using it;
3) Is ssh access given on request?
4) Check possible restrictions on the type of content placed;
5) Is there any limitations on the number of simultaneous MySQL connections;
6) Check your host's abuse policy, that's very essential, my hosting provider Ahosting.biz keeps this included into their Legal docs
http://www.ahosting.biz/legal/rap.html
I hope this will be helpful.