The T5 cell is about 1/2 the size of a T15 cell so when you set the controller to expect a T5 cell, the controller adjusts the conversion of amps to salt. Basically, it doubles the value.
So while the old cell was reading 1300 ppm @ 3.22 amps in T15 mode, in T5 mode should read around 2600 ppm. The unit does not shut off until 2400 ppm so you can extend the cell life a little bit. Just don't forget to switch back the mode when you go back to the new cell.
You might also try an acid bath for the OLD cell. One thing I discovered about failing cells is that they may look clean but there is a oxidized coating, basically rust, that reduces the current/production of the cell.
But going forward with your new cell, an acid bath is a last resort. To clean a cell, I use a bamboo skewer to pick off any scale. If I do use acid it is very diluted, 20 Baume 10:1. It takes longer to clean but I believe it is less harsh on the cell.