Oh, I get all that.
Back in the day they were called service stations. Everything from filling your tank, to the many things you mentioned, and even minor to major car repairs. And, they usually had a Coke machine, and a gumball machine, and maybe a snack machine, or a combination thereof. Obviously, nothing like gas/convenience stores today.
It's obvious I don't have a problem pumping my own gas, inspecting our vehicles, or doing many of the maintenance and repair tasks I can still reasonably do.
Others don't even care about how a car works, and don't have any interest in taking care of any of those things themselves, and that's just fine, too.
These days, repair shops specialize in the repair aspect, gas/convenience stores are a place to make a quick stop to gas up and get ice for your beer, pop, etc., and then some.
As far as checkin' the tires and under the hood, all those quick oil change places do a "27 point" inspection, or some such thing, when you bring your car in.
As we all know, good or bad, times change.
Here's a brief article I found that covers a bit of it all...
http://calexis.com/blog/2015/01/18/whatever-happened-to-the-service-station/