Can my parents travel to US after TPS?

It depends whether they had accumulated unlawful presence before changing form B-2 to TPS

I applied for green card lottery,I won but I realized that my student status had been terminated I reinstated.

If you have not accumulated more than 6 months of unlawful presence then you can consular process but the lottery deadline was September 30.

Is vawa law expired?

Not this law is still in effect and can be filed with or without the adjustment documents depending on eligibility.

Can I travel within US while adjusting my status?

yes take your I-485 receipt with you

I made mistake on my N400 application ?

Bring the documents from the Court to your interview and advise the Officer you noticed an error on your application.

What is my certificate of citizenship number?

You can file an N-565 to get a replacement certificate or make an appointment to go to the local office to see if they can look it up.

When should my employer start paying my prevailing wage after I got H1B approval?

I don't know what work status you are on now but if you are legally able to work the employer has 60 days to start the H-1B petition. If the H is...

Is it possible to have multiple i130 petition for the same person ? What would happen if one petition is denied?

It is fine to have multiple I-130's for the same person.

H1b expires 03/20, H1b extension to be filed 3/25

EAD will cover you for working but you will lose the option to use the 240 day automatic extension.

To maintain your status you need to be paid. Talk to the employer and advise you will need to file a Complaint with the Labor Department to...