Can my husband sponsor his mother to get her a visa to the united states?

Your husband would have to be a US citizen to be able to sponsor his mother for a green card.

Can I file I-485 with my father?

Not unless you qualify asa minor under the Child Status Protection Act, (CSPA). You should ask your father's immigration attorney whether you do.

Running own business (iOS + Android app) when working on H1B visa and labor certification application pending.

Yes, this could be a problem for you. Presumably you knew what having an H1B visa entailed as far as what you could or could not do. Surely you...

I agree with my colleagues that is probably to soon for you to go that route. I don't believe that you could get an NIW at this time.

If my I-589 application is pending with U.S.C.I.S.,& I have T.P.S. Based E.A.D. Expired,can I continue working with this E.A.D.?

EAD is not valid after expiration. You need to have it renewed and are not allowed to work until it is.

F4 family immigration

If you are a citizen you can petition for your spouse as an immediate relative and a visa would be immediately available for her.

How serious are the consequences is it that people did not apply before 18th birthday for DACA?

As long as you entered the country prior to your 16th birthday and were under 31 as of June, 2012, you are eligible by age to apply for DACA.

Aside from the fact that you should not enter the US as visitors with the preconceived intention of getting your green cards, everything else is...

Can i travel to USA using my previous employer VISA stamping?

If you have a valid visa you can use it to enter the US, even if you later plan to quit your job.

How much would it cost for me for a lawyer to fill and submit felony pardon forms

This is a criminal defense question, not an immigration question.