Question about personal check for AOS (I-485)?

No this should not be an issue and USCIS should accept the fee.

My F1 visa was rejected based on immigrant intent. How difficult is it for me to travel on my existing B1/B2 visa early next yer

You should be able to travel with the existing visitor visa with some evidence of the basis for travel.

Yes as an F1 student you were likely granted duration of status.

It appears your father abandoned his permanent residency through his lengthy absence. Best to have an attorney review his case.

I-539 Extension Query?

You will need to apply for a second extension with evidence to support your request.

These are passport style photographs.

Selected as the best answer

Were you a permanent resident between 18-26?

You should receive the rejection shortly but if not by early December, best to resubmit.

Haven’t received receipt notice for I 539 application

This is normal as it can take 3-6 weeks for receipt notice.

This may be an error in the USCIS system. Contact USCIS to confirm current status.