What would be the response to the question asked in ds 160 form, will it be 'yes' or 'no'?

The DS160 requires honest answers to the specific question. The events in Canada would not effect this answer but if at interview the question was...

I'm non-us citizen, my daughter is US citizen. What line do i join when going through immigration in and out of the country?

You will be entering based on the Advanced parole and you will not be requesting inspection for new status in USA. As my colleague states , you use...

Will i have problem with opt ? as i have not attended even single lecture in old school.

The fact pattern you provide appear to show no issues as you have a valid I20 with the new school.

Can I petition a permanent resident for my parents or add them to my status?

They will need to file their own asylum applications but the evidence you used may possibly assist in validating heir claims.

After returning to USA by Advance Parole, still would my F1 status remain? and would I be able to use of F1 status benefits?

very risky at best and you risk loosing your asylum application. It is possible they admit you on the F1 on return and deem your asylum claim ended.

USCIS does not automatically accept foreign approved marriages as legit for American immigration purposes. proxy marriages is one such type.

Is it better not to move until I get the new card? or is that not an issue?

When you use the Change of Address form after moving, I would send it my internet, by mail and also telephone to confirm the new address. Mailed...

Along with 2 pictures for I-485, do I need to submit separate pictures with G-325A ( of me and my petitioner)?

I would use the USCIS website and review the specific instructions for each form. I agree with my colleague that the improper filing of forms and...

How to bring my fiance to USA ?

The answer goes to the reason for the denial. If its not fraud then it could be possible to try again but be advised the Consulate will have notes...

Will I need to surrender my old I-94 card while departing from US OR when I re-enter US?

There is no requirement that you must surrender the I94. If they ask you then say you are coming back in a few days and would need I-94 to exercise...