1993 Honda Accord - Electrical Blinking

I have a 93 Honda Accord. A few days ago, I noticed the battery getting weak.



Yesterday, it was dead. As soon as I jumped the battery, the front and rear lights, as well as the instrument panel lights, would come on and off, like the hazard lights were on. (I checked the hazards, which were off.) This would happen whenever I entered or left the car as well.



This is consistent with the dashboard lights, clock, and dome lights.



Once the car was jumped, I drove it around, but the lights continue to blink.



The car was dead again this morning.



Any suggestions?



Thanks!