Got severance, how does it affect benefits? - 2 weeks in

I was offered severance of 15 weeks after being let go as a mechanic and I am unsure how it affects benefits. There are 15 people counting on me, so I am trying to be careful. I also wonder about the job-search requirement.

Thanks for writing this out. I went through something close to it 6 months ago, and it settled down once I kept a simple log of every call and form.