I'm filling out the I-485 and it asks about criminal history, which I have a DWI. I answered yes to part b of the question

Probation is not what they are asking for in part c and, no, it's not whether you worked in jail but whether you were an inmate, the answer is yes...

Can my fiancee apply for a US tourist visa after the K1 application so we can be together sooner?

Even though K-1 is a non-immigrant visa, immigrant intent is rather obvious so I don't believe they would give her a tourist visa.

H1b cap exemption approved but date is from Dec. 2015 to dec2018. Can I work? Am I in status?

You will have to wait for the start date to begin working,

You need to wait for your H-4 EAD card before you start to work.

Advance parole ... re enter back into the U.S.

It depends on whether you have other issues that make you inadmissible. You should talk this over with an immigration attorney.

Working on EAD for my Spouse's LLC who is also on EAD

How did you get your EAD? AC21 provides that an employer may not withdraw their petition once an I-485 has remained filed but unadjudicated for 180...

Why USCIS lockbox office sent our application to CA, while the petitioner organization is located in MA?

It is a matter of allocation of work and resources.

Will abandonement of 1-485 by travelling while in status without advance parole invalidate my current B2 visa valid to 2020?

It may not invalidate your B2 but the fact that you had filed an I-485 will be taken as immigrant intent and you may not be allowed to enter the...

Immigration on Haiti

you don't provide enough information. I suggest that you visit an immigration attorney.

Is it true that a US citizen can sponsorise me as his child. Like taking care of me in us.

Only if you are the citizen's child, stepson or adopted child and meet other age requirements.