I'm not sure, but I called social security a few days ago to tell them I would be moving to Washington state and they said to visit the social security office because there was a possibility I could get more money through the state. Don't know if that helps, but when you get to your new state go to the social security off. Also, there is something called the QMB program. You can apply at the Health and Human Services Department to get it. It is where the state will pay for your medicare premium instead of it coming out of your monthly disability check. Luckily I had a case manager that helped me out with that little tid bit. I get an extra hundred dollars because of it. It's not a lot but it helps.
No, disability payments do not increase if you move to another state. I can only say this from experience. If you moved somewhere with a high cost of living, it might be possible but still doubtful. If that was the case I could move to Beverly hills where the cost of living is very high and have a huge pay increase, which if it were possible, would probably be abused. Which is why it's probably not possible. I believe payments are calculated on a nationwide level among other factors.
No. Go talk to a lawyer, your gonna be rich!
Call and ask your employer and the IRS