First get your seat at the right height. Easiest way to get it close is to set your saddle height so you can lock your knee and put your heel on the pedal at 6 oclock. This will get it approximately right and you can then adjust or use a fit calculator to determine the fine position.
From there start to look at the rest of your cockpit. A sore back is possibly from your setup, but it's also possible to get a sore back if you haven't ridden for a while. In fact that's the most likely cause in my opinion. Your hamstrings and buttocks won't be used to the new activity and they cause tension in your back. I had a sore back for a while when I started riding again. It went away after a few weeks as I got my riding fitness back again.
From there start to look at the rest of your cockpit. A sore back is possibly from your setup, but it's also possible to get a sore back if you haven't ridden for a while. In fact that's the most likely cause in my opinion. Your hamstrings and buttocks won't be used to the new activity and they cause tension in your back. I had a sore back for a while when I started riding again. It went away after a few weeks as I got my riding fitness back again.