Looks like a decent deck so that's a good start. Working on a 214 now. On the starting issue make sure you have a good ground from battery to starter solenoid. Key switch is also good to replace. One of the neat things about these is that almost all of the parts are still available from Deere. I think you did fine at $250. It is easy to spend more than they are worth, but if you intend to keep it a while, you can afford to make it reliable.
You can buy a genuine Kohler carb kit pretty cheap. I also bought a new "offshore" carb because my bowl had a pinhole in it. The whole carb was cheaper than a real Kohler bowl. So I have a spare carb if I need it, but the original body cleaned up really well in the Ultrasonic.
You can buy a genuine Kohler carb kit pretty cheap. I also bought a new "offshore" carb because my bowl had a pinhole in it. The whole carb was cheaper than a real Kohler bowl. So I have a spare carb if I need it, but the original body cleaned up really well in the Ultrasonic.