I applied for EAD (I-765) and now got a letter from USCIS that it is denied as I did not go for biometrics, but I did go

File a Service Motion to Reopen with proof of your appearance and compliance within 30 days.

As long as you are not engaged in unauthorized "employment," is should not be a problem.

I-140 approved through EB-3. Just got married with a US citizen, can I or should I file I-765 with I-485?

Yes.

J1 Visa holder subject to 2-year HRR married to permanent resident, When to file i-130 and i-485?

If you are returning home for the two years, it is unlikely you will be filing an I-485 ever. You wife can file the I-130 now and you can apply for...

Should I apply to petition for my wife as a Permanent Resident or wait until I am naturalized?

The F-2A category is current until September 30, 2013 and then it will retrogress in October.

Will I be able to enter USA again?

You should have applied for a reentry permit before departing. If you return in less than 6 months the CBP should readmit you, however, if an...

Does the "deemed export" rule apply to individuals granted a Temporary Protected Status (TPS)?

This more a US Customs question. Direct your inquiry to that type of attorney.

Immigration question. Both applications of I-130 and asylum is pending, have individual coming up not sure about what to do next

Approval of the I-130 will not override the IJ's decision, however, you may be able to seek adjustment of status from the Judge based on the I-130.

Regarding H1B question

It is not clear why you are searching for a job, when you are employed in L status and have an approved H-1B for a new job valid from October 1,...

Now my question is for immigration whether it will affect anyway?

Generally expungement of a conviction is not effective for immigration purposes, however, dismissal means that no conviction would have been...