Okay,
@Jim *****
you're confusing a couple things.
First you can't get ANY year long VISA inside thailand, AND you can only get a year-long, multi-entry O-A visa from the thai consulate in your country.
If you got a visa inside thailand it was a 90 day Non-O visa <- because they ONLY sell 90 day Non-immigrant type visas inside the country. AND they only sell those visas with NO re-entry because you're already IN thailand. Now after you had that visa you got a yearly extension and a re-entry permit but those are all separate things.
How about you look in your passport for the original visa. IF it looks like this you got a Non-O visa <- no A after the O and DO NOT need health insurance.