Does the PV Analyzer software automatically name the saved I-V curves?

No, the PV Analyzer software requires you to name each of the I-V curves that you save. A convenient approach is to set up a file folder tree ahead of time, then using a simple numerical convention for file naming, for example, inverter-combiner-string numbers. This can speed the file naming for each successive string measurement since you can just increment the string number in the file name.