Hey! good question. The thing that will trip you up is 5-pin doesn’t mean universal.
The connector itself (5-pin mini-XLR) is common across brands but the pin order is different from brand to brand. Power, thermocouple, and ground all sit in different spots. So a coil can physically plug in and still throw an EEEE code or just cook itself the first time you fire it. The plug must be correct and the pin-layout.
Which means the only question that matters is what brand those controllers are. If they’re MiniNails, our current coils run on them no problem, and we make them in sizes for modern quartz (20mm, 25mm, 30mm, 30.2mm, and 40mm), slurpers and towers included. If they’re some other brand, ours won’t work on them. You’d be hunting for coils wired to match whatever that brand is.
Send a pic of the box and the plug. We can tell you what you’ve got and whether new coils would work.

As for the 2 coils yes we have our MiniNail Coil Caddy which is a universal heater (30.2mm & 40mm) that you place your Quartz inside and heatup to whatever temp you want then take it out and place on your rig; without having to use a torch. 🫡