Motion WILL NOT RUN. It wont even let you install on that mini.
FC, ST, LT, DVDSP should all be "ok" - not fast in any way, but should work. But motion is too graphics heavy, and no card in the G4 minis ( or the intel ones ) will handle it.
Depends on the specs (I see you have 1.5GB of RAM which will help, but you don't have your processors speed posted) of your iMac G5- but I imagine that you would be able to run Final Cut Studio 5.1 on it just fine.