Can my husband reopen his case for fed voting violation after his deporation in absensia for being out of the country?

I would need more facts to advise you and him.

Completed 5 years in L1B and presently in H1B so i will be completing 6 years straight in US. can come back on L1A

You should speak with your attorney about these issues. As long as a change of status was filed for you along with the request for L-1A...

My L1B - I129 Extension was denied in July...Can i apply for H4 and go back as my husband's dependent

If you want to join your spouse in the U.S. then you should apply for the H-4 visa. There is no reason why this should not be granted under the...

How long does a I-601A waiver to get approved?

i agree

Does the couple needs to have 2 year relationship before filing a K1 visa?

yes, the requirement is to have had at least one face-to-face meeting within the last 2 years.

What should I do first? Will I need a lawyer?

Absolutely you will need both a criminal attorney and an immigration attorney to advise you on the specifics of the case.

Too little information to advise. I normally set up a phone or in-person consult with your Resume in front of me and then go through all of the...

Is it normal to be called asked for proof after getting passport stamped?

I concur with Pablo.

There is no normal with a Motion to Reopen. If the documents submitted clearly show the error, then I would not expect it to take that long. If...

How long should I stay in US after applying for reentry permit?

Technically you do not need to remain for biometrics ; but if you leave before these are done you will need to come back to get them done. If...