Similar experience on the other coast. My mother had her first Pfizer vaccine on 1/6 at the Strawberry Festival grounds. She was given her second appointment for 1/27 at the same time as the first. During the 3 weeks between shots, Hillsborough county changed the company administering the shot, so I had to register her a second time. But, they gave us a code to pull over her information and there was no issue with the second appointment.
Interestingly, my wife tells me that the crowds at the Festival grounds were much smaller than they were the first time. That is a little strange since you should have the same number of people getting vaccines as before. I wonder if folks are not going back for the second dose.
Still, my wife and I are happy that we got mom in, and that she has not had any adverse reactions at all.
Florida has been catching hell with the media because the state is reserving the second dose when you get the first, but that plan is working. When Cuomo even Cuomo is complaining about the erratic weekly distribution to the states, I don't see how you can do anything other than reserve the doses.