Would I have to apply for Green Card through new company or it will be in process through OLD?

It depends on where in the green card process you are currently. Consult with a competent immigration attorney as more details will be required.

Need immigration advice regarding advance parole and h1B extension?

If your H-1B has a valid I-94 with expiration of Sep. 2013, you may work in H-1B status.

I am a Indian citizen with a approved EB2 I-140 (priority date 2008). Eligibility for cross chargeability

No

If the L-1 is a bona fide job opening and you intend to enter to join your employer, I don't see other issues with marriage while in the U.S. It...

Is it possible to prove that a 3-year UK degree is the equivalent to a 4-year US degree for an H1B application?

More information on your educational background and objectives is required

H-1B transfer : Out of status for 4 months

If you were unable to show your maintained status, it is likely that the extension will be denied and you will have to consular process.

It depends on what they are seeking to recoup.

Caught that changed tags after checkout at Macy's but did not get arrested(F-1 visa holder)

In addition to what you sign, you may be questioned regarding the incident by a Consulate Officer. Ideally you should discuss this with an...

Is there a way to expedite I-131?

Seek an infopass and make a request to the IO

You should pay your taxes. Your concerns about maintaining status should ideally be discussed with a immigration attorney in a private meeting.