I would STRONGLY suggest that you avoid the .380 Backup.
My Mother had one for a number of years.
It was not particularly reliable with FMJ ammo, and less so with hollowpoints, and it would throw ejected brass straight back in my face.
Even more disturbing was what I learned when I ended up brokering its sale to Mac Scott of Scott McDougal Gunsmithing. He needed an early production one as he was serving as an expert witness in a lawsuit.
Seems that the early ones had a significant safety defect in that the safety would be fully OFF when it had traveled through less than 10% of its travel length.
In other words, even when the safety was "ON," it was pretty much off.