Just to add on to what others have said. Do your home work on the lodges. There is something we call clandestine lodges. Not all of them are bad, but more than less they are looked as fakes. Also there is some that will scam you. Make sure the grand lodge in the state recognize the lodge. More than not, if the grand lodge is on this list and the GL recognizes the local lodge. Then it's safe to say it's legit https://www.ugle.org.uk/about/foreign-grand-lodges
The part that is bugging me is the
They both said they knew several people who would sign it
While this isn't unheard of, this is highly looked down on. The people who sign it should know you're a good person. More than less it's a way to make sure you're not a nut job or doing something stupid like dealing drugs on the side.
As far as your event, without knowing more I can't say 1 way or the other. But giving you don't have a federal record from it, then we all know accidents happen.
As far as the main question if they are recruiting you. For the most part everywhere there is rules of ask 1 to be 1. Because this is kinda stupid since most won't know if someone is a mason to start with. In many areas the rules are being relaxed to allow people to hint/ask you. Many times they can only ask you 1 time and that's it. That rule is in place within many areas since most don't know the limit of being annoying.
Now the why they are asking. Giving they know you, then it could be because of that. Otherwise I suspect the WM asked people to fill some chairs (I kinda doubt it's that).
My advice, see if the lodge has some public get together. Maybe a breakfast, a lunch, or some other public hang out. While not everyone will come, you will be able to get a feel for the lodge. You have to keep in mind each lodge can have their own personality. If you're still on the fence then simply ask to have a tour of the lodge.
What can being a mason get you. I found many will say it helps you become a better person. I kinda found this is BS since most walking in the door tends to be good to start with. What it actually gives you is a good group to hang around at the end of the day. Yes there is things you can learn, but most of that is on the internet to start with. So again, make sure you fit well with the overall group before you jump in.