0
Each House.
The House may refuse to seat a member elect by majority vote
If you are the one who was charged with it, yes, it will be on your criminal history record.
Yes you can be charged with this as I was at a friend's house in Council Bluffs, Iowa in 2004 and was charged with it.
NO.
Another View: YES, it is vandalism and disorderly conduct and probably trespassing at the very least.