My bank quit their coin machine, they said it broke too much. 

I was in IT for 32 years - I don't trust machines any further than I can throw them.

It seems like everyone living in Colorado is issued a dog, so I just expect that has taken the +1 slot so I do not add that in.

We need to know what kind of machine this is to put a value on it.

Also an allen slot on the bottom can unjam it.

They think they can just order tenants out of a tenant ATM machine, without learning anything about the laws, or screening, or fair housing, on and on.You can't fix stupid, as they say.  

They've been paying via check for the last 20 years and my dad had been traveling 90 minutes round trip to pick up the checks (multiple times per month since of course they would claim they dropped the rent through the drop slot and it must've gotten lost in the room). 

And from what I can tell of your post, it sounds like you will lean toward being a pushover, so it will benefit you to have a hardliner first impression.I fundamentally disagree with the posters who are suggesting that you treat your tenants like inhuman cash machines.

They operate like a machine and don't put the right person in.

so it depends on the setting.. even at that taking no cash the front of their office was like a bank teller with bullit proof glass and a sliding slot door.. kind of like a low end convience market in the HOOD