Bad paint job, please help

[InThePeg2]

Hi everyone, I recently had my X5 repainted and needless to say the job isn't what I expected. I have some overspray and what appears to be a heavy clear coat causing a wave appearance under direct sunlight. I can see the waves when the car is really clean and looking at it from the front side down to the back. I went back to the bodyshop and they wet sanded the truck and polished it. It's better then it was but I still notice it. After a few washes I now have a slight haze probably because they used a compound and didn't gradually polish the truck out. Let's just say that I don't want to bring the truck back to them.

I want purchase a polisher and see if I can fix what the bodyshop couldn't, at least the haze that's left behind. Can I remove the slight wave in the clear with a compound and a more aggressive polishing pad? (Orange pad) Or am I over my head?

I was thing of purchasing the PC polisher and getting the Orange, White and Black pads? I was also planning on purchasing a compound or cutting polish, polish then a sealer.

Any suggestion would be greatly appreciated.