Is there is a way to get Syrian siblings and parents to the US

A US citizen may sponsor parents and siblings. It isn't immediate, but you can plan. Employment based sponsorship is often faster than sibling...

If me and my boyfriend get married in the us will it affect in any way to fix me papers

A US citizen or lawful permanent resident may petition a spouse on form I-130. If admitted legally the sponsored spouse may file a green card...

Do we need to apply for a new passport to do name changes?If yes do we need inform NVC regarding new passport ?

1) we have seen issues with name differences, the birth certificate rules 2) no problem he can explain, 3) not unless provided and not a problem

A US Passport is proof of Citizenship as well as the naturalization certificate. You do need the naturalization certificate number for the I-130. ...

Can i apply for a fee waiver for application I-131

If you provide sufficient proof that you receive a means-tested benefit, your fee waiver will generally be approved.

Can my wife get a visa through my winning DV lottery greencard after being denied under 214B previously for a F1 visa?

The nonimmigrant visa denial may impact her immigrant visa application if it is determined she is subject to a 3 or 10 year bar.

Usually, there is language that it is a receipt notice or an approval notice. This sounds like a receipt.

Travel history to establish ties with home country

An F-1 is not required to travel home. H1 visa issuance does not require the F-1 to have traveled home.

Is it safe to travel outside of the country with a PC602(m)-M (trespass by entering and occupying) DEOJ?

we would not recommend travel even with a reduced judgement for the CIMT.

Would my J-1 Trainee visa would be declined due to approved I-130 petition?

the J-1 requires proof of ties to one's home country. Sufficient proof of ties provide you with a shot at the J despite an approved I-130.