Application for L1?

That is an extremely broad question. The answer is, who knows. Try reposting and be more specific.

You can work but apply for an EAD.

I hav applied for I-751 2 months before I hav done with my biometrics also on 5th sep ...... Now my case is in initial review

Yes. Talk to an experienced immigration attorney prior to your departure to discuss any possible issues.

I-20 Expired

You do not provide any facts that would allow us to answer whether or not you have alternatives. Based on your posting the only option you appear...

Would maintaining a bank and credit card account in the US affect the counter on being outside of the US after deportation?

No, it will have zero effect.

Can i apply to the green card lottery when i am out of status and married to a us citizen ?

Yes you can apply but by the time the selectees are announced you still won't have status that will enable you to adjust. I suggest talking to...

What causes the delay of Permanent Residence Card?

Processing times vary. Follow up with USCIS in another 2 weeks or make an infopass appointment. See link.

I am applying for an Adjustment of status after being admitted with a K-1 visa and being married.

Use your married name and include maiden name where it asks for other names used. You are fine to submit the A/S application.

If you have a brother who leaves without documents in the US, would the US consulate in Mex deny your tourist visa?

It only asks about immediate relatives, which as defined by the INA does not include siblings.

Do you know what happened to the CBP FOIA website?

You can submit your request there. You may have to create a new account. You will be able to track cases based on the control number you were...