H1B - Grace Period with Severance Package - Options Available

I am on H-1B Visa, I was laid off from my current employer last Wednesday and given severance package of 4 weeks pay. Can you please confirm when should be my Grace Period start and end. I stay and work in Ohio state. What are the options that I have if I want to extend my stay here in the US to find a new job.

Also, since my H-1B visa is approved and expiry date on my I-94 is in 2022, can I apply to companies in the US after going back to India?

Thanks in Advance!

H1B 60 day grace period should start once your severance pay time gets over.

You can find a new employer and join immediately on transfer receipt until the 60th day of your grace.