Once upon a time, long, long ago, I bought an AMT .380 only because the seller would not separate two pistols and I wanted his .38 Colt Diamond Back. I did not want the stink'in little thing but I shoot my guns and my budget was tight.
Your .222 Rem/.223 shell holder, RCBS #10, is the correct one. For resizing your .223 FL sizer is just as good as any non-carbide .380 sizer. 9 MM expanders of course have the correct diameter but it's possible yours might expand too far down the .380 case. My RCBS 9 MM expander/flaring pug worked just fine. For seating just turn your 9 MM seating stem down low. I don't remember how I taper crimped but just like .45 ACPs can be taper crimped with some .30-06 head rifle resizers I'm sure I used a rifle die for a cartridge with the .222 Rem./.223 head.
Good reloads could not make me like that AMT .380 so I found it a loving home. I'm glad I did not spend money on factory ammo or .380 dies at that time.
If you have a nice .380 that is a keeper buy .380 carbide dies.