It sounds like it could be the computer, i will take alook at the location today. I have resisted going to a dealer because of the fear of a large bill and no result. We can live with it as long as it does not cause a safety issue. Are you saying that we could have some other options added just by reprograming the computer and some money?
You probably noticed that the machine has a high flow button, and a bucket positioning button (hyd bucket leveling), advanced hand controls, power bobtach, air conditioning. Most of these can be added as optional kits if the loader was not already equiped with it. But many of them must be switched on in the computer after adding the kit so the option will work. So no there is not likely any free options you don't know about.
As for the starting. Talk to you local dealer and ask them what they think, feel them out. If they won't help even a little, your talking to the wrong dealer. Some are really good and some are no help.
There are couple dealer folks on here from time to time, one is "Bobcat Parts Manager" you can look up his email and fire him a question too. Mark is the fellow and he has offered here in the past to help.
Another option would be to rewire the starter and fuel solinoid around the computer.
If its a computer thing the mechaincs should have some knowledge. If it just started on its own and it consistantly does the same thing, thats really weird if its not somthing the computer can be set to do.
Otherwise I'm not wure what to tell you.
Good luck
Ken