Should I negotiate my severance?

The company sent a severance agreement with a release of claims, and I am unsure what to do. I do not usually post, so bear with me. It includes health coverage for a couple of months. Should I see a lawyer?

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 6 months ago, and it got easier once I kept a simple log of every call and form.