pvc fittings

Got this no-brand pump I need to test out. Mainly I have two questions: 1. What parts do I need to install this? I think I need the below. Pipe image below so you can see what fits snugly into the adapter (but only into the inner half of it; see attached video in zip file)...

As you can see from the pics, my volute is cracked on my booster pump (Polaris PB4-60). I have the repalcement volute. My question is about the pipe connections to the pump. Unlike most of the videos i see online, I don't have screw-on threaded connections. Does that mean I have to cut the...