The alarm going off is likely an unrelated problem, I'd just have the alarm counter read out when at the shop, it will tell you what set it off and how many times.

From the sound of it you may be having alternator problems, specifically problems with the diode trio when it gets hot. At a more constant rpm it will act ok, like on the highway. But when at low rpms as well as when the rpms go up and down the diodes can let too much ac voltage through, as well as the battery back feeding the alternator.

I'd drive it until it is doing it and then while it is doing it pull in somewhere to test the alternator... and make sure they test the diodes with it.

Hopefully that is it. Otherwise get the diagnostic report faxed to you from the dealer (from the first time they hooked it up, before faults were cleared) and you can scan the pages and upload them and send them to me, I can look at them and give my take.

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