how do i proof i'm a caregiver to my mom as Hardship
You can start by explaining in a detailed affidavit exactly what you do for them. They can also write or dictate affidavits explaining how you help them.
You can prove these things by providing evidence in support of your claims. You should get medical records, letters from doctors, and copies of prescriptions filled at the pharmacy. Get records of your mother's continued physical therapy. Immigration likes to see continued treatment or multiple doctor visits. You can keep the receipts from taxi or bus rides to confirm what you are saying.
You can attach printouts from reputable sources regarding your parents medical conditions. (try mayoclinic.org) You can print out country condition reports from your home country to show how the conditions in your home country would make it difficult or impossible for your parents to return with you. (Use the Department of State Reports http://www.state.gov/j/drl/irf/rpt/ or look at Human Rights Watchhttps://www.hrw.org/world-report/2015 ).
Provide copies of bills and any income you have to show financial hardship that your parents would suffer without you.
Show that you have been paying your taxes. They really like to see taxes.
3 months for FOIA/Privacy Act Request?
It is common for FOIA requests to take a very long time. Your only recourse would be a mandamus action in federal court. You probably want to wait another three months before you think about that.
Green card through merriage What happens if my spouse is outside of the United States?
If your spouse is outside the United States they can still apply for a green card. Rather than adjusting status through an I-485 application in the US, he will have to Consular Process. It is very common.
N-400 APPLICATION MISTAKE
You are usually allowed to amend your application at the interview. You can explain your innocent error and the Officer will probably let you switch the answer. You really want to retract that answer at the first opportunity you have, so in this case as soon as you get an interview.
NATURALIZATION - I have 3 years with my green card. My USA citizen spouse abandoned me. Can I apply by myself.
es you can but you have to wait 2 more years. Unfortunately, the exception to the 5 year rule only applies to those who obtained their LPR status through their spouse and remained married to them for the three-year period. Since you are not living with your spouse you should not apply for citizenship under the 3-year exception. You will have to wait until it has been 5 years and even then you should consider consulting an attorney because when you naturalize USCIS will have questions about the bona fides of the marriage for which you got your LPR status. Good Luck.
Can i file seperate tax returns? if i do will that be pose a problem in removing my 2 year condition?
You have to file married but you can file independently but married. Married people file independently for tax purposes all the time. As long as you have plenty of other bona fide marriage docs then it wouldn't be a big deal. It may cause the officer to take a closer look and ask some questions but it won't disqualify you