Yes depends on the amount in question but likely not advisable to travel outside of country.

Depends on personal circumstances. Best to refer to the visa bulletin for guidance.

Best to have an attorney review the nature of the offense before a meaningful answer can be provided.

If the case gets denied you should consult with an attorney to review the specifics of your case to determine next best steps.

What documents do i file with the i-765 form as spouse of a pending asylum applicant?

You will need proof of asylum filing, marriage documents and proof of identity.

Back in june i applied for green card renewal and correction of spelling(10 yrs) i still have the same status .

The delays are completely normal at this time and very little can be done but patiently wait.

Yes best to withdraw the existing application and file a new one.

Yes this is normal given previous closures and delays.

Could I get any legal papers for being a father of a 16 years old US citizen?

No the daughter would need to be age 21 in order to petition for her parent.

What should I do next if my application is with USCIS?

No you may depart prior to decision and doing so will render your case abandoned. This alone should not detrimentally impact you in the future.