Please tell me if I have any rights not to go?
Unfair, maybe. Illegal, no.
Refuse to go and you get fired for refusing the work and you get disqualified for unemployment benefits for refusing the work.
I've read enough unemployment case law to know that refusing a 15 mile commute will disqualify you.
Now a month later, I receive a phone call from the manager of the store 15 miles away that i'm not to say anything, but I will be starting there in exactly one week. That was Friday, Today is Tuesday and I'm supposed to be starting there this Friday, but my boss still hasn't said anything to me.
I suggest you talk to your own boss TODAY and have him confirm by memo that you are moving or have him intercede to keep you.
Don't whine about health issues, family issues or gas money or the other girl's status. Emphasis your success with the company and how your efforts make your boss look good.