All Rear Taillight Markers(brake,signal,& reverse) Light Up When I Brake

I just traded my Scion for an unfinished project car, an '91 Integra LS 4 door.
When I press on my brakes, not only do my brake lights come on but so does my reverse lights and signals.

Now, I do have the passenger side front bumper signal light & housing missing. I’m going to the junk yard to find one in the morning.
But I don’t believe it would cause all of that to happen…or would it?

Check ur light bult or the the back tail light hardness it mite b coroad it meaning is rusted

Check the tail light ground(s) 94