Can a motion be set to remove house arrest after serving a year in prison year ?

You can file such a motion. I have strong doubts the judge would agree

Perhaps if you are not rude to the attorney by calling him offender instead of defender you could achieve a better result

I agree with the advice provided by Mr. Valencia

I had a domestic violence charge in 1989? What can I do to restore my gun rights .

NOTHING https://en.wikipedia.org/wiki/Domestic_Violence_Offender_Gun_Ban

I agree with the advice presented by Mr. Babkes

This would be considered inadequate security. You should locate a personal injury lawyer

If my cousin sends me money to pay his writ of bodily attachment will they let me pay the purge for it?

I do not think this is a criminal matter You need to find out more information

WWhat is the statue of limitations for drug charges?

State or federal? What drug? How much? Possession? Possession with intent to sell or distribute?

Can my brother get his bond reinstated?

He should be discussing this entire matter with his attorney. If he gives the attorney permission, then the attorney can discuss it with you

What is likely the outcome on 3 petty theft charges about a year apart all under $100?

Obviously no exact answer can be given. You need to retain counsel. Your counseling will surely help you with the judge