I'm PhD engineering student with J-1 visa with 2 years residency rule from Iraq. how can change J-1 to green card? make waiver?

You can fulfill the requirement or You will need a waiver based on no objection, persecution, hardship or untested government agency. You also...

2 years green card

You may use it for travel with a valid passport.

How long could be to remove condition decision after I sent more evidence to USCIS

Usually weeks to months depending on how busy the reviewing offer is and what evidence has been submitted for review.

What are the possibilities to aquire a permanent resident card?

When were your parents married among other information is needed for a full assessment. Contact an immigration attorney for another opinion.

With H1B i have worked 14 months only in USA, then back to india, to get H1 B again, should go with CAP / quota or not ???

You have more than six years since you last had H-1B status. An employer would need to be either cap exempt or will need to petition for your under...

Will I be able to apply for asylum if I go to Canada with a student visa?

Consider posting your question on a site for Canadian immigration.

The child will be a US citizen and at the age of 21 may petition for the parents. The mother may have some difficulty returning as a visitor.

Do I need to file a change of address with USICS?

All non US citizens are required to notify CIS of address change within 10days of moving. use form AR11

Lost my green card and filed the I-90 form. I found my card so i did not go for the biometrics. Is original card still valid

Yes it is valid. Withdraw your pending I90 application with explanation.

Can I apply for Temporary Protected Status while on OPT STEM? (follow-up question)

You may apply for TPS if eligible, you should apply for the TPS EAD 120 days before your EAD OPT expires.