My mother just got her IR 5 visa can she enter the country for one week and then go back to Guatemala and enter again?

Possible.

I need advice for H1-B lottery

I agree with Mr. Brown. Wait and see. You may get the receipt. Good luck.

I am a us citizen filing i130 and i 485 for my biological under 18 year old children .Do I need to also file i 864?and g 325?

You need g325. You might be able to file 864w.

How long after marriage can a person file for their wife and child

Right away after you get married.

Green card holder wants to know physical prescense eligibility prior to applying for naturalization

I agree. Provided that your trip was shorter than 6 months.

I agree. USCIS.gov

I agree with my colleagues. Look at the bright side. You did not sign his condition removal petition.

Can be considered Widow Daughter in law & Grand son in blood relation in petition for immigration

No.

USCIS Actively Adjudicating My Case?

It means they are adjudicating your case. It does not mean they are ready to make a decision. They may or not.

Can I file a VAWA if I have an order of deportation with a closed case?

There are many issues and very little clarification here. The best advice I can give to you: hire an immigration attorney near you. You say you ave...