Should I file for I-485?

Ideally, you would file the I-485 and I-765 and also extend your OPT. You cannot have too many options.

How do I apply to extend my stay in the US as a UK citizen who entered the country on ESTA visa??

You need to consult with a Board Certified immigration attorney immediately. By entering the country and getting married to a US citizen within 90...

My Employer received a request for Initial Evidence that's needed to complete my green card, what is it?

They most definitely should share that with you. Also, the company's attorney is also your attorney and has an obligation to keep you informed.

H1b, Re-join old employer after working a few months, no location change.

"As attorneys" are your attorneys as well. It is fine for you to return to company A.

They will need to apply for B-2 visitors visas at the US consulate in Honduras and prove, with evidence, their intention to return home after the...

Can parents travel on valid existing visit visa to US if there is an intent to file I-130 in the same year.

What you are discussing in public is visa fraud. You need to see a Board Certified immigration attorney.

Do the denied green card leads to deportation ?

This depends on what you mean by "I a court" and why the green card was denied, as well as what your status was when it was denied. You need to see...

Request Initial prove of Evidence?

It doesn't matter how much income your wife has, she still must file an I-864

Can I apply for tourist visa for wife and dad for a family vacation ?

It will be very unlikely a visitor’s Visa will be issued if you have filed for their green cards. But it doesn’t hurt to ask if they are truthful.

What is the process to update the beneficiary’s entry information and physical address in the Form I-130?

You should not do any of that. Once the I-130 is approved you simply have your mother file for adjustment of status and update everything then. ...