I have court on the 26th for shoplifting I am an American citizen from romania but I have a problem and I have to leave .

You need to ask your criminal attorney. As a citizen you should not have a problem reentering.

Honeymoon visa or visit visa?

A visitor visa is appropriate. B-2

Can I applied for citizenship even when it was denied or i have to wait another 5 yrs to reply again?

The denial should have told you when you can apply again. Anytime you lie there is a 5 year bar on your a iLife to establidpsh good moral...

Can I transfer an H1B visa after I quitted my job and left the US knowing that I used my H1B only for 1.5 year.

You should be fine I think.

My boyfriend was just deported, now living in Mex. We're going to get married. Will his deportation affect me filing the i-130?

Not the 130. But it drastically Ffects his snity to get a green card.

My boyfriend was in ICE custody and went to his hearing this morning and now is no longer in ICE custody where could he be?

All depends. Are you sure he did not bond out?

Will my husband (greencardholder) be deported for committing a charge of Domestic Violence - Felony with Strike 1 Bodily Injury?

He will definately be place in proceedings to be removed. For child support talk to a family attorney.

Affiliation and N-400

Yes

H1B visa with annotation 212(D)(3)(A)(I):212(A)(6)(C)(I) need to be included in I94 form while filling?

They will see it and discuss.

Yes. I agree you file the petition then ask for humanitarian parole.