These are two separate issues. 1) Get a new battery. Really, I've had it happen before on my '92. I tested the battery and it lied. Before I took out the starter, my friend convinced me to pull the battery and take it in for testing. Bad battery. Replaced it and car started right away.
2) your driver info, ie. instrument panel flashing on and off is the transformers for the digital and analog stepper motors in the IP. Each transformer is about $75. Find a competent electronics repair place, or an auto repair that can do electronics. Take out the IP, take it in, and you should be good for the rest of ownership for about $250 or so.