H1B (company A)to L1A (company B) cos did. Can L1A company can file GC immediately for me.

Maybe, ask them or their immigraiton lawyer.

Can I bring my girlfriend with a fiance visa?

Yes you might be able to if you are a citizen and once she turns 18. Talk to an immigration lawyer about teh specificcs.

The best advice I can give you is to sit down with a competent attorney in a private consultation and get tailored legal advice to your situation,...

What happen if the petitioner or sponser withdrawal before second interview process

The consequences will be harsh for your spouse but for you as the petitioner the only problem would arise if you committed some sort of fraud by...

Can I get an interim EAD after 90 days?

Your question does not mention critical facts - such as on what basis did you apply for an EAD? Yes, tehre are a few things you can do, such as...

Can I travel outside the US while my (blanket) L-1 petition is in process?

A good question to also address to your employer's immigration counsel - the one who prepared your L-1 visa paperwork

Can you move from L1 to another company and/or visa(J1/H1) without hindering the green card process if it has already started?

Looks like you will need to make some difficult choices. Consult with a lawyer for more specific advice.

Applying H1B when I am in G4

Talk to your employer's immigration lawyer

Can I start working here in USA on H1B?

Ask your H-1B employer and the lawyer who prepared the H-1B for them. If you were granted change of status - no need to travel for stamping. If...

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I'm visiting the United States under the waiver visa program.I need to fly back on the 21st. Is there a way to extend my stay?

No, but you can come back if you haven't yet exhausted your 90 days for the year