Can I file i-130 now using "without inspection" as last entry even though I will be using Advance parole in the near future?

I am a bit confused with your question. Why would one not adjust within the US if eligible under 245i? I would talk to an immigration lawyer.

Can a new employer file H1 Transfer Petition based on an expired petition and current receipt notice?

Talk to the new employers immigration attorneys regarding your options etc.

What will be the best approcah for me to extend my stay?

Talk to the company's immigration attorneys please.

I 140 Portability benefits for L1 A Max out candidates

You should be addressing it with your company's immigration attys.

Overseas travel after completing biometrics for I485 AOS

In general, if you have a valid H1b you can travel without impacting the AOS. You should be though addressing the questions to the immigration...

You do not need bank statements when applying for a tourist visa. You do need to be able to demonstrate an ability to support yourself while in the...

(1) How to activate my SEVIS - via a SEVIS reinstatement petition or a data/error fix? (2) How soon can this be corrected?

Talk to the attorneys you are already working with.

(1)How to activate my SEVIS - via a SEVIS reinstatement petition or a data/error fix? (2)How soon can this be corrected?

This is a duplicate post. Please work with your company's lawyer to address these questions.

Can i get H1 visa stamped in july with renewed petition effective sep Can i travel back with visa (issued with renewed h1b)

please address with the company's immigration attorneys

Will an RFE on my 1-765 stop the clock on the 1-485 as well?

It is not common to get a RFE for a I765. You should respond to the RFE as asap and I would have an immigration attorney review the documents.