My tail lights went out on my Accord?

Start with checking fuses. The check the bulbs. Even though the brake lights work they do not use the same element in the bulb. Next, check the grounding of the light. Given the age of the vehicle, a good ground is a common problem.

Check fuse #23 in the under hood fuse panel this guide can help.

https://www.2carpros.com/articles/how-to-check-a-car-fuse

and please go over this guide as well.

https://www.2carpros.com/articles/no-tail-lights-exterior-running-lights-tail-lights-out

Here is the tail light wiring daigrams so you can see how the system works and I have included the fuse location as well. Check out the images (below). Please let us know what happens.