Please note that if you sign the release form, Chevron would pay their portion (as when you were an employee) for 6 months, and it will show on the COBRA form. You also have the option of selecting other health care options (e.g., UHC Option 1, etc.) but Chevron would not pay for the 6 months IF YOU CHANGE YOUR HEALTH CARE OPTION from the previous year.
If you do the election via the ADP form, the system will give you an error message if you waive / change any option (e.g., not electing other options provided).
Basically, you will need to mail / fax the form that was sent to you in the mail (should be sent within 1-2 wks. of the termination date). After you mail / fax in the form, then go to the ADP site to pay. Good luck