Non-Compete Agreement after Termination of employment?

I was employed for just under two years at an event production company in the capacity of office manager. I had been in this industry for over 20 years prior. I gave two weeks notice. 4 days into that period, the company accessed my personal email and found that I had taken a side job for a child's birthday party which I had found from a posting on Facebook. This client called me at the office and I immediately knew we had a problem. The company accused me of poaching their client, immediately terminating. The company's brother is an attorney who then proceeded to submit an injunction & order to show cause with damages. I responded by stepping away from that client, deleting all intellectual information from my computer, returning the notebook. Now, they offered a "settlement" which includes a post employment Non-Compete for the period of 1 year. The plaintiff has seriously damaged my reputation, and my ability to earn a living if I sign this agreement. Thoughts?