Also consider this: if you do sue, any future potential employer who googles your name will see the lawsuit. This will dramatically reduce your chances of getting future jobs.
1. Have your lawyer send a demand letter
2. Request a case management conference/arbitration
3. Reach settlement
4. File in court (filing now public)
5. Reach settlement (settlement private)
6. Court judgment (judgment public)
The goal is to stop at step 3 where it is not yet public. The company will not want the filing public because of bad publicity. If it gets this far, they would rather stop at step 5 than 6.