Will I face problems and denial at my naturalization interview because of my marriage/ separation?

Was all disclosed to CIS. They may ask some questions about the bona fides of the marriage.

Can I file amendment myself to my H4 visa which is currently under extension process at USCIS. where should I look for to do so

Amend while in progress is typically not permitted. You may need to refile. Consult with an immigration attorney.

I want to apply for asylum, but my question is can i have Medicare /medicaid before i win the asylum case ?

Not eligible at this time. If your son is eligible to naturalize he should. He should file a petition for you and your wife when he does

I will leave the country once I graduate.

If you leave turning 19 you will have a 10 year bar. If you leave before at this point you will have a 3 year bar. Speak with an immigration...

Need a Solution --H1B leaving job and moving to California

If married to a US citizen resident status is not dependent upon your retaining H1b status.

Your naturalization is not contingent on remaining married or being divorced.

Yes it possible you may need an immigration attorney and agent.

Same sex marriage in Ontario in 2004..She came to US to visit and overstayed..she is back in Ontario now. Can I sponsor her now

She may have a 10 year bar due to the overstay, but there is a waiver available. A petition by a US citizen spouse with the waiver may lead to US...

Hello, i'd like to know if i can apply for a green card ?

For permanent resident status principally you need a family member or employer to petition for you. Asylum and diversity are also possibilities....

Do I have to prove my OPT jobs when applying for a green card by marriage, or just my I-20 is enough?

You need to provide the information when asked. If there was an employment violation marriage to a US citizen remedies the the violation.