Did the car dealership break my car or coincidental?

My low air tire light came on my 2008 Honda CR-V, just over 91,000 miles. AAA checked all tires and pumped the one that was at 20.

I call Honda and they got me in a few days later. Light didn't come back on but I wanted them to check.
I asked if they dunked the tire that I told them was the problem and they dunked all of them. I thought that was strange as I already knew which one was the issue, where a prior time they dunked only one tire.
I get the car and drive back to work which is about 10 minutes away. I exit the freeway and 3 engine lights come on, triangle with the exclamation, VSA, and the check engine.
I flag someone down who said it was the transmission and said I could drive in first/second gear. I drive 3 blocks back to work, call Honda and tell them they broke my car.
They get me a tow, don't charge me for the diagnostic and the rental, I think because I cried on the phone.

I'm not sure if I should ve taken it to them as wonder if they could cover something up. Should I have taken it to a different spot?

So now what? Is this coincidence?
I have a friend who had a service tech pour fluid in the wrong tube and his car went to bits. Could they have topped things off and put incorrect fluid in the wrong spot?
What could possibly cause this?
Would they fess up to this kind of thing?
What kind of money am I looking at paying, if I do have to pay?
Would it be smart to get a lawyer and if so do what?

Any suggestions and good input would be appreciated.

You could have gone straight away to a tire place and they would have checked the tire and repaired whatever was necessary. However, since you went to Honda they checked all the tires while they were at it as a sensible precaution and service to you.

Get yourself a tire pressure gauge and footpump and get into the habit of checking your tires regularly, I'd suggest on a weekly basis, rather than rely on a light which usually only comes on when the tire is already seriously low.

The electronic nonsense with the lights is probably sheer coincidence and nothing to do with anything Honda did.

You have an 8 year old vehicle things will go wrong at any time without the help of 'suspect' mechanics.

Why would a Honda dealership do such a thing? They probably have work coming out of their ears without the need to go make more trouble for themselves. You could have solved your original tyre problem at any gas station air pump. These are they days of equality, crying down the phone to get the job done is not the way to go about things

Hi Like percy i do agree when a car gets to be 8 years old it has reached it's designed age. So time to realising it is going to a go wrong and be you are going to have to buy parts like tires and other such things for it.

They didn't break your car. It's getting old.