Does a conditional resident have to pay for penalty for the months before becoming lawful resident?

Unfortunately as conditional resident, you are still liable for penalty.

No, you must have been inspected by the border patrol officer.

Can I re enter the US on my B2 visa with my 2 young daughters (also B2), if I spent just 4 months here, left For 4 weeks?

You do risk being turned away at the border since you left for 4 weeks. However, be prepared to show any ties and any proof that you will return to...

Diveristy visa in pending asylum?

You may be able to change your status in the US if you are in otherwise valid non immigrant status.

How long will my file take to transfer?

Very disconcerting info here, please speak to a lawyer asap.

Can i widraw asylum application ?

Yes you can, You need to send a withdrawal request notice.

What happens after I turn 21?

Unfortunately you would not be able to lawfully hold the L-2 status after the age of 21., therefore you should immediately seek to change your...

Rescheduling biometrics for reentry permit at different location.

You may do so, have had no issues with doing so.

Can I get married with my fiancé, if she is in the process of fixing her parents immigration papers?

Your marriage will not affect his petitions for his parents.

Your divorce has nothing to do with your green card.