Thanks for your response Mongo.
For information, the 31k miles are UK miles.
I'm assuming that is standard miles, 5128ft, or close to it. I guess the UK is almost as bad as the U.S. in its schiezophrenic attitude toward the metric system the rest of the world uses.
But, you have my sympathy Mrs M. it does seem you have every right to be dissatisfied.
I would get with Chrysler UK again, with the documentation for your other visits to the dealer for transmissions repairs while the vehicle was under warranty. You have a good case that the problem existed before the warranty expired and you brought it in multiple times under the warranty and the Dealer failed to fix it until after it was out of warranty. Thus, Chrysler or the Dealer should cover it, because they never fixed the problem like they are required to do under the warranty.
From your description, it really sounds like to me, that the Dealers were unable to troubleshoot your problem and thus never fixed it, when it got bad enough to leave you stranded finally, when it was also out of warranty, they again were unable to troubleshoot properly to find the cause and simply elected to replace the transmission to get the vehicle working again.
If they knew the cause of the problem, they would have told you instead of telling you need a new transmission.
Its unlikely a transmission would wear out by 31k miles, unless it was being driven with a problem that would cause excessive wear as it was driven. So, having multiple intermittent problems that the Dealer couldn't find the cause and fix, and returned the vehicle to you to continue to drive, really sounds like to me, the most likely reason why it progressed to the point a new transmission was needed way earlier than it should. -OR- Perhaps the Dealer still unable to locate the cause, just replaced the whole transmission unecessarily to get the vehicle working. Eitherway, its on the Dealership, IMO.
BTW, the transmission should be part of the powertrain warranty, of course the coverage for warranty varied over the years and locations wildly, so they may be telling the truth that a transmission is no longer covered at 31k miles.