My wife and I are separated can I declare chapter 7 bankruptcy without her?

The short answer is "yes,' you can file bankruptcy without your wife.

How long after my case is closed can I sell my home (which was exempt) ?

The trustee will not and cannot take the proceeds of the sale. The property was exempt when you filed.

Credit check?

A bankruptcy from 15 years ago will not show up on your credit reports. If it does, it is a violation of the Fair Credit Reporting Act.

IRA's are specifically exempt from levy by federal statute.

A judgement was granted against me. I received an execution order. I don't own anything. Everything I have is rented. I'm hoh.

I believe that you already know the answer. However, the judgment creditor may try to garnish your wages.

BeI just got notice I am being sued?

That is horrible. However, any post-petition liability is not going to be covered by the bankruptcy. You need to consult with a lawyer.

Do I have to pay an old debt that is over years old and a debt collect has it now?

If the debt is over 10 year's old (since the last payment) you can't be sued on the that debt but the creditor is still able to collect it so long...

Can I get the debt collectors to leave me alone?

Direct negotiations or bankruptcy are the only ways that I know of.

How do make a credit card company prove I owe the debt they are suing for?

Capital One sues on its own debts so there is not an issue of standing. Ask them to produce the account documents and billing statements.

Should I file a motion to dissolve writ of garnish ment with my exemption?

The answer is "yes." The form you should use is attached to the Notice of Garnishment.