I would be seeing a doctor as soon as possible, it is better to be safe than Sorry and it is not worth not doing anything about if something is wrong.
There is always a doctor somewhere near
could be braxton hicks contractions, you can still call your previous OB and ask though, even though you have moved. you just cant see them lol
I'd go to l&d to be checked out. Could be nothing or it could be something but its always better to be safe than sorry.