Pull the starter. The starter gear is probably worn or maybe has a broken tooth or three, or the starter may have a bad Bendix. With the starter out, you can see the flywheel for inspection. Mark the flywheel with a Sharpie, and have someone manually turn the engine very slowly whilst thou observest the gear teeth. To check for cracks, you will have to drop tranny.
Now for the painful and tragic news: the dash is toast. The only cure is to send it to JustDashes there in California to be manually recovered. It will cost $900, but it is just like brand new. Only it will last longer. Sorry, but there really is no other way, and there aren't any flawless dashes out there that anyone would sell, and the reason it has "warped" is the combination of sun, age, and glue/foam/vinyl failure, none of which is treatable. And a carpet dash pad just looks like crap.