Travel US/Canada

I agree with my colleagues. You can travel by car to Canada by your LPR card. eTA is only for air travel.

How to maintain OPT EAD while working with TPS EAD?

You cannot have both EAD. Talk to your DSO or an attorney.

Is there any immigration classification that I can be qualified for Green Card? Any humanitarian way help me get my Green Card?

Unfortunately there is no such category.

Going back to my country, is it going to harm my future visa application to the US or will make me black listed? Plz advice.

I agree with my colleague and would say make sure you talk to an immigration attorney before you leave.

Can I change my status from F1 to J2, and how? What about my daughter status?

Once you wife arrives, you can change your status and become a dependent.

Do i need to apply for specific OFAC license to transfer E2 funds from Iran?

It is highly advised that you consult with an attorney who deals with OFAC regulations before doing anything. Good luck.

If the U.S. consulate denies a visa for lack of recent residence by U.S. citizen, where do we start again?

That is correct. Your husband must reside in the US for 6 months and start all over again.

Work Permit about to expire!

You need to renew your EAD card 90 days prior to the expiration date. EAD is separate from SSN and other stuff. Good luck.

Refer this question to DMV. They should have a meaningful answer. You will receive your GC at some point and no need to continue for 90 days...

How should I respond to the RFE needed by the USCIS?

Consult with an attorney before doing anything.