I believe it was the Honda Care for the highest level, I'll have to look at the paperwork tomorrow. It's always good to refresh my memory on all that and have the mechanics give it a good once-over prior to the warranties expiring.
It was at least 5 year 100,000 miles. I only remember clearly at this point that it was with a 1 million mile interior. I was concerned at the time of the battery life, especially with buying a car that had been sitting on the lot for 2 years.
The car may have been used for demos, but not much. It had less than 500 miles on it when I bought it.
If the car had nearly 500 miles on it when you purchased it, either it was driven that far from another dealership or more likely it was used as a demo, i.e. some sales manager drove it for a while as his personal car. If so then the factory warranty probably started when they first put it into service. You can have any Honda dealer run your VIN number and they can tell you how much time is left on the warranty. Although in your case it's probably a moot point for the 3yr warranty since it sounds like you will drive out the 36,000 miles before the time part of the warranty expires. But for the power train and HV battery warranties you should find out when the expiration dates are.
If the extended warranty that you purchased is HondaCare that is good because that is really the only one that should be purchased, it is administered through Honda and from what I have heard it's very easy to use as any Honda dealer's computer system will recognize that the car is under HondaCare warranty when they enter the VIN. If the repair is determined to be under warranty (i.e. not caused by damage) then you don't pay anything out of pocket. Compared to 3rd party warranties where people often have to fight with the warranty company to get reimbursed.
Even if it is HondaCare the dealer likely overcharged you for it, because dealers almost always overcharge for it. Which is understandable in your case since they probably lost money on the sale itself. There are a couple of Honda dealers that sell HondaCare online, Hyannis Honda being the most popular, you can go to their website and enter your VIN and get a free quote, the warranty extends the general and power train warranty to 8 years, and various amounts of miles depending on the price level that you choose. However you have to purchase it within I think 6,000 miles to get the New Car warranty extension, after that you can buy five years of warranty, but most people who miss the 6,000 mile window wait until the end of the 3yr 36,000 mile factory warranty to purchase the five year warranty otherwise there would be an overlap with the still in force factory warranty. The guy at Hyannis who administers the program is very helpful and will answer any questions that you have.
Many people cancel the extended warranty that they purchased from the dealer once they find out they can get it cheaper elsewhere, although in your case the time limit for cancelling may have expired, but you should check anyway.
So to recap I would suggest:
1. Find out from any Honda dealer when your factory warranties expire (the 3yr, 5yr and 8yr warranties)
2. Find out whether the extended warranty that you purchased is HondaCare or a 3rd party warranty
3. If it's a 3rd party warranty read it from top to bottom, every sentence, all ten pages or whatever, to find out what the exclusions are, of which there will likely be many. For HondaCare it doesn't hurt to read it also but for the most part it is pretty close to the factory warranty.
4. Find out if there is still time to cancel the warranty that you purchased, in case you decide you want to
5. Go to Hyannis Honda and get a free quote for HondaCare. If nothing else you will find out whether you overpaid or not and by how much. Again probably not much to worry about since you got such a good price on the car.