Can someone get a green card with criminal record and 10 yrs of prison?

Yes all court and prison records, which have the final disposition and are certified by the appropriate authority should be obtained, particularly...

I did mistake in N400 almost 5 mistake one date of birth A no married year and i was involved in some society

Yes you should and this should not be a problem.

Immigration Question: After Visa approval at interview, how to ensure LPR status rather than conditional status?

You should be issued the 10 year green card given length of marriage in relation to when green card approval is expected. If this is incorrect, you...

From what date does 45 days of adjudication process begin (i130)? Date or original inquiry or from date of reply to the inquiry?

The next step is to be patient as processing time and response times with USCIS are not consistent.

I have a USCIS interview in 4 days, can I request female officer to interview me?

Yes you may request this given the nature of your case.

Can I work abroad through the internet while waiting for my green card?

After you enter the US on your fiancé visa and adjust status, you may apply for EAD which authorizes you to work.

Yes you may travel during this period with your approval notice or extension notice from filing if still valid.

Can I travel after I751 interview approved before I receive new (10 year) greencard?

Yes you may travel during this period of time with your approval notice.

I receive a call in letter From home land security and I need a lawyer please

It is unclear from the information provided why USCIS may be investigated. Best to consult with an attorney for guidance.

I’m from Colombia and I got married last year to an American citizen, I came here with the J-1 to babysit and study, now I have

Your spouse may petition for you despite the overstay, and it is best you not depart until this is completed.