I can go on a trip to Europe?

An EAD card does not allow you to travel. The card MAY also be advanced parole, but you have not stated that. Whether you will have problems...

How to go about the marriage process and applying for my I-130 and I-485 while I’m in the states on a B2 visa?

You are not aware, but this is a complicated situation with some serious issues that need to be dealt with. You MUST hire a lawyer.

You did not ask a question. But you've already made one bad mistake by not hiring a lawyer for your asylum application. Hire one now.

Can We travel out of USA if our green card application under process

You have not provided the proper information to answer your question. IF you do not have the proper authorization to travel, you will not be...

N400 "decision cannot be made" and result is pending since interview in December 2017. What are my options?

Keep trying to figure it out yourself and spinning your wheels or hire a lawyer.

What?

You need to hire a lawyer and discuss your case. Such a specific answer cannot be provided in this forum.

What is the average wait for a work permit for adjustment of status through marriage in New Jersey?

Over one year. You should be more concerned with your chances of approval than time frame. Cal ablawyer now before you have a problem later.

8 CFR 103.2 (b)(8)(iv)

What is your question question? This is not a question.

Can I acquire a non-immigrant K-3 visa for my Honduran wife more quickly if we apply in person at the US consulate in Honduras?

You need to talk to a lawyer. Your hold is likely already a citizen. And you need to determine the fastest process for your fiancé.

Do you have to married to file I-130 and I-129F form ?

Your son should hire a lawyer. The more you try to do things yourself, the longer it will take, and the more likely it is to fail. If he files an...