Should I negotiate my severance? (Kansas City)

The company sent a severance agreement with a release of claims, and I am unsure what to do. It includes health coverage for a couple of months. Did anyone negotiate and succeed?

I asked for two more weeks and a neutral reference. They agreed to the reference and added a week.

Thanks for writing this out. I went through something close to it 9 months ago, and it settled down once I kept a simple log of every call and form.