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.

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