I do have some. I am sorry that they may sound a bit critical as far as your trip method and choices.
My wife and I were traveling from Atlanta to Panama City Beach, FL and stopped in Dothan, AL
What had you done before Dothan? What route did you take and what Superchargers (if any) had you used along the route? You mention later having to sit for 1 1/2 hours using slow charging at this point in Dothan, so it sounds like you intentionally skipped Tesla Superchargers along the way until this point.
It is usually best to hop from one Supercharger to another, even if the route is a little less direct, just so you don't have to deal with annoyances like that. In looking at Atlanta to Panama City Beach, I would definitely stop at the Auburn, AL Supercharger, and then probably the Mariana, FL Supercharger. That distance is only 159 miles, so a very easy section to cross and does go through Dothan along the way. So why were you forced to stop for charging in Dothan?
where they have a brand new Charge Point location with Two stations. I was not able to connect with any adapter that I had with me.
Why did you go to that station, expecting to use it on your trip, without finding out beforehand about what connectors public charging networks have? You didn't even know what either of the two plugs were, yet were expecting to use them?
There must be a better way to get to the Pan handle of FL.
There is, and I already covered it above. Don't skip Auburn, AL.
Is this the CHAdeMO adapter the one to fit these types of connections?
Yes, the CHAdeMO is the one on the left, and Tesla does sell an adapter to be able to use that. You seemed to expect to use that without buying the Tesla adapter for it.
It would seem to me that if I was adding a new charging station to a city, I would make it more compatible with Tesla's connections.
They did exactly that. What would you suggest? CHAdeMO and CCS are the only two fast charging standards available in the U.S., and they provided BOTH of those. What more could they have done? Tesla has their own customized, proprietary plug type that most public charging network companies won't install. If you had bought the Tesla CHAdeMO adapter, you could have used this, but you didn't. I have one, and I've used it many times and lent it out to people a few other times for their trips. If you are planning to use any public fast charging stations that aren't Tesla Superchargers, you have to have it.
It's limited to 50 kw/h though.
That should be 50 kW, not kW/h.