I am GC holder.if my future wife travel to US for 6-8 weeks with her Business visa during (I-131) process. Is it Problem?

If there is immigrant intent it is not a proper use of visitor visa

Can l become a subject to 2 year residency rule (J1 status) after NOT being a subject to it?

Yes as my colleagues indicated if your program is subject you are subject.

What if someone stole the photo that I used in dv lottery and applied an entry to disqualify me?

You should report the information to the US Department of State. It may affect visa issuance.

You can provide your information to ICE. ICE will determine what if anything to do with the information.

Can I travel abroad while my H1B processing is in progress?

You have not been approved for transfer to the new employer. Without approval travel is not recommended.

Can I sponsor my parents with my husband help?

Yes your combined income may be used. Follow the instructions to the I864

I filed in my i-765 with i-485 form and it exactly 90days that i have not heard from uscis.what is going to happen?

You should receive a filing receipt and be scheduled for biometrics. If you applied for employment you will receive sometime after biometrics....

Affidavit of support / will i need a co-sponsor

If your income is not sufficient you may required to have a cosponsor. To avoid delay consider having a co sponsor and bringing the I 864 with you...

Adjustment of status/form i-693 Medical

Getting a new medical may be a good path to avoid delay in the process. The medical personnel will let you know if additional vaccines are needed

Adjustment of Status for Conditional Residence.?

You need to file within 90 days of expiration of your conditional resident status.