After reading your report, I cannot help but post this short simple information for you and others to consider and read;
First of all, these are VERY COMMON complaints for any Jaguar owner, and especially and used Jaguar owner. They are known worldwide for their electrical issues and bugs, and are even referred to as being wired by "the price of darkness" for the known issues of their wiring harnesses and electrical systems.
I am an ASE certified mechanic with 20 years experience, but without this experience, it is still up to US to know what we are getting in to. A short Google search of Jaguar (any model) will reveal these issues and the electrical nightmare that is owning a Jaguar in America. This is as true for the 1968 model as it is for the 2005 model.
So many people want the "image" of owning and driving a Jaguar for the payoff, but fail to research these issues before taking out a loan for such a car, or what it will end up costing to have that image. Jaguars are expensive cars to own, period. You must take responsibility for your purchase. They owed you a car, not a dream.
They CAN be great cars, but they are better suited for those of us who are able to plunk down whatever it costs to keep them in the shop, or on the road (which is considerably more) and better yet as a NEW car purchase when these issues are not as prevalent. No doubt someone got rid of this car because of the very bugs you were saddled with as the proud new owner. Jaguars are great for the first 60,000 miles at best in MY experience. That's all I can offer. IF you had spoken with ANY mechanic before buying that car, they would have told you all of this too. I would.
While there is nothing I can say to justify the dealerships behavior with the tow charges and not offering some decent lever of customer care after the sale, and the whole mess with having to wait 30 days for a warranty to take effect sounds suspicious, this must be spelled out in all that fine print and paperwork WE fail to read during the excitement of signing to drive that shiny new Jaguar to our office or home to show off.
I think they were wrong for how they treated you, but you still bear the responsibility for reading the terms of the sale AND the warranty, as well as the responsibility of researching the type, model and HISTORY of a car with the exact issues you are having as well and KNOWN issues. Expect more. Sorry.
I don't know if this helps you, or what happened in the end. I understand you were angry, but if you had kept the Nissan, you may have gotten to the mileage mark that SOME Nissan Altima's start having oil leak problems, where the timing chain rubs through the timing cover. There was a service bulletin for this, but since it almost always happens outside of the warranty period, it is not a recall issue. Consider someone buying YOUR old Nissan as a used car and then having those issues within that same 30 days. Would you feel better if it's a cheaper car? Cheaper to fix? a Nissan instead of a Jaguar? I hope you get my point.
Your Nissan would have passed that SAME 160 point inspection. Mechanics cannot see in to the future, that's why it is OUR job to read up on what we are buying. The inspection would never have "seen" an alternator that was going to fail in a few days. No one can see or predict that. I can assure you they didn't KNOW any of this was going to happen, so it's hard to justify saying that they lied.