Yes you may do so and should notify the asylum office of changed address.

You may attempt to expedite but results unknown.

If your parents do not have a visitor visa, they will likely be denied given your pending asylum status. Consult with an attorney for guidance.

Yes marriage while on tourist visa with no intention to stay is permitted.

Marriage while on tourist visa is okay.

No you should be denied on this basis alone.

Yes this happens when there is missing evidence in initial filing. Consult with an attorney for guidance.

You may marry but it cannot be your intention to adjust status upon entry. Consult with an attorney for guidance.

It is best to answer yes for purposes of the history of your case.

Use the USCIS webpage to find the updated version of the form.