Is it true that because my finance came to the us illegally he has to stay for 10 years ?

If you and your fiancé marry, he MAY qualify for a waiver, depending on his immigration and criminal history.

Do my parents need to submit form I-693 if they are in the USA?

Yes

How can I help my Dad gain US residency?

It appears your father paid the $1000.00 in conjunction with a section 245i adjustment. if that is the case you an petition for him. HOWEVER,...

Applicants are required to show they have resided for at least three months immediately preceding the filing of US Citizenship

I agree completely with my colleagues

Will H 1 B transfer automatically notify about my AC 21 change of employer or do I still need to file AC 21 package?

I agree with my colleague

It would be advisable to do so.

What is going on with my case?

The two are different. The I130 is a visa petition which must be approved BEFORE you mother's I485 (the "green card" application) can be approved....

Became a citizen.

You would need to consult one on one with an attorney for an informed answer. As initial matters you would have to prove that you have been...

The processing times for a Canadian green card.

You would need to consult with an attorney who practices Canadian immigration law, or check with the Canadian consulate

I have family based green card interview on march/2013. Do I need to go for DNA test for me and my baby to make my case strong.

Before you do the DNA, why don't you consult with an attorney? You can be given a clear assessment of the strengths and weaknesses (if any) of...