My husband's F2A immigration petition was returned by US Embassy, Islamabad it received in USCIS on 25th of April, 2018?

Not allowed to visit/immigrate to the USA. Any future petitions of yours viewed as higly suspect. USCIS also has a denaturalization task force.

Iam a U.S citizen & applied I130 for my wife who has B1 &visited U.S once.Will the visa will be cancled & can she travel to U.S

You will have to wait and see what happens when she attempts to be paroled to the USA. Can’t have an immigrant petition and non-immigrant visa...

Do I have a right to move to another state and how do I notify immigration that I moved?

Yes & be sure to let the asylum office know of the address change within 10 days of your move.

Would that help to get green card faster or should I wait until they give me an asylum status?

You can have two parallel petitions pending. Adjustment of status and your asylum. There is nothing to make your asylum go faster as security...

How long to process my green card at Texas service center ?

You can look and review processing times on the uscis website.

Can I use my MBA degree while applying for H1B extension this time?

All depends on your job function/description

Changing this to criminal defense for you

Thank you

Yes, you are within your right to marry a US citizen and adjust status; just do not withdraw your asylum petition until you have adjusted status....

When is the soonest date I can apply for citizenship?

As you were granted asylum in U.S a maximum of one year of your time in asylee status counts as permanent residence. You will still need to wait...

Consult in private with an immigration attorney about your details to assess the most appropriate steps to achieve your goal.