No need to repaint... sounds like you're not too familiar with detailing, so I would just take it to a professional detailer or find a friend who knows what he's doing when it comes to paint correction. It should take more than a single pass with a medium cut compound to get rid of those swirl marks - it may even be possible to remove them by hand with enough effort.
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'10 PW 370Z 7AT - wife's car - Project Raspberry Cheesecake
'08 Evo X - built motor+trans | BB-X @ 32 psi | CH3OH | self-built+tuned - ??? WHP
'01 Galant V6 - built motor | GT35R | self-built+tuned - 550+ WHP (retired) |