Given my physical and family situation, is there anyway to file for immigration legalization now & how?

I am sorry about your children being sick, hopefully they get better as they grow. There is no path to legalization based on being ill. However,...

I do not see any issues with putting your email and phone instead

How long does it normally take to have it delivered? Does the USCIS processing delays during holiday season (being December)?

did your employer (the petitioner) receive it maybe?

Call immigration, confirm the address and see if they can re-send the notice.

Does my traffic citation minimizes my chance of being a naturalized American ?

First renew your green card. Second, if you missed payment on a citation, make sure it did not turn into anything more serious. Then speak to a...

Would his particular criminal record cause CBP to detain at re-entry to the U.S., and possibly deny re-entry altogether?

dates of when this happened do not matter. Your friend should obtain all dispositions for all arrests and schedule a personal consultation with a...

is there any problem when i come back to USA ?will they make me any problems at airport !

The jury issue could be a problem, especially is the court issued a subpoena

Is it will be a problem for my cititzenship application?

You really should be speaking with an attorney in private. Fraud is a serious issue.

Can I correct the information on my new application for EAD or leave it as it was before?

In my humble opinion, you should make the correction and be prepared to explain the difference if the issue comes up down the road. You should...

How to bring sister to new york?

Your parents can file as well, the waiting times are shorter, but still lengthy.