When we all (tenants) appear in court for this holdover, are we required to give our names? How can we counter this dilemma?

You do have to provide your legal names when you appear in court.

Can I sue my landlord for my entire security deposit if she was outside the 21 day window?

It is doubtful that you would get airfare, but did you ask her for a copy of the damages claimed?

Does your lease address this issue at all? The landlord seems to be acting very unreasonably.

Can i still go ahead and join new company as planned or do I need to take steps to avoid future complications in gc & extension?

By consultant do you mean you already have an immigration attorney?

On H4 never traveled to US and applying for F1 visa but if visa is rejected can he/she travel on present H4 to US?

As Mr. Berman points out, proving nonimmigrant intent is going to be hard.

I'm afraid Mr. Berman is right - that is what normally happens.

Can I file DOL compliant based on my scenario ?

Your employer must abide by the terms and conditions of the LCA - if they don't, you can file a complaint.

E2 visa extension Premium Processing

The email notification is pretty quick.

Should my wife file for H4 at same time I file for H1B, or can we wait until after H1B is approved? Cnnot find her I-94 online.

She should apply because once the H-1B is approved she is no longer in dependent status.

Can I fill without the medical exam at this point and provide it later or would it delay the process of getting the work permit?

Yes you can do that and just make sure you get it ASAP once the RFE is issued.