The Final Solution:
So I got some interesting and good news. I hope this will help others. My initial diagnosis was incorrect. The tails lights I thought initially was on but I was wrong. Upon closer examination I noticed with someone stepping on the brake that the lights would not change so it was the brake lights that were on. I had to check for sure by replacing the bulb in the middle of the rear window to see if this stays on, and it did. Some of the things that made this diagnosis difficult was due to day light. I did it during the day and all the bulbs were not functional.
I disconnected the wires from the light switch to see if that would disable the lights, and it did not. So it was obvious that was not the problem, because that had nothing to do with the brakes but I wanted to check for some stupid reason. The next thing I did was look at the brake peddle to see how the brake light switch works. There is this little black button that is pressed when the brake pedal is not pressed. When you press the brakes it allows the button to push out and turn the lights on. So I placed my screwdriver between the pedal and the button and took a look at the light. The lights were off. I knew then that the brake switch worked and my diagnosis is precise. Upon close examination of the brake pedal I noticed a hole in the pedal. I though something has to go there that pushes against the button. So I went to the junk yard and looked and there it was a little rubber triangle shaped piece. I popped it out and placed it in the Honda Civic and everything is good.
Thanks for the help everyone.
Honda subsystems are reliable and I am happy this was so simple.
Lex