H1b extension not filed - contract ending

I have my contract ending on April 30th(as well as my h1b) and my employer did not file h1b extension. As we expected that I would get placed in job and because of pandemic , two of my offers went on hold and not sure when they will be resumed.

Will I be eligible to use that 60 day grace period or how that would work for me ?

What are possible options apart from getting into a job?

Is there anyway I could stay for some more time and my employer can apply for extension? ( Because of the situation being so bad).

Any leads and suggestions would be appreciated. Thanks.