What is the right US visa for me to enter US?

Hire a lawyer to go to the border with you, you need a b2.

Am I eligible to port from EB3 to EB2 Category

This is a complicated process, I suggest you contact an immigration attorney directly.

My employer wants me to pay to renew my work visa (H1B) and also my green card. what can I do?

You are in a tough spot, the employer is required to pay the government fees for H-1b and the advertising fees etc for PERM. However, your employer...

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Filing fees for I-765 & I-485

You also get a travel document included in that cost.

Do I need any progressive experience to file my green card in EB2 if I complete masters degree from USCIS approved university??

http://www.uscis.gov/working-united-states/permanent-workers/employment-based-immigration-second-preference-eb-2

Hello I was wondering I have a relative who has a husband that was deported from USA a few years ago, because of a crime

If he was convicted of a major crime, he is probably permanently inadmissible. Also it may not have mattered that he was married to a citizen back...

How long my husband have to wait for renew his travel document?

How long is the processing time? about 3 months from the date of filing.

Can my husband file for my daughter while filing for my papers too?

how old is she will determine your options. Immediate relatives have no derivatives, however, if she is young enough she may not have to file.

Can an international student apply for OPT again if they've used one before ?

no, only a higher level like phd would get him more opt.

Can I sponsor my mother? I have a temporary green card through marriage?

You'll have to wait until you are a citizen, which you'd be able to apply for 2 years and 9 months from your green card, if you are still married.