Remove swirl marks

[bottle_fed]

I have 2011 Gt in BLACK (kicking myself). So my pup decided she smelled something delicious inside my car and she kept pawing at the top of both doors. And left huge scratches. I buffed them out but now have the worst swirl marks I have seen. I know I suck and don't need feedback on how big of a f*** tard I am for doing that. But what I'm looking for is what's the best products to try and remove these. I did take the car to a local auto detail and had the car polished which help until a few washes. I return home Wednesday and will post pictures of it asap. Any help greatly appreciated!

Here's a pic after fresh paint but not of the swirl marks as of yet

 

[rcm90]

What kind of pad did you use and what compound?

 

[bottle_fed]

It was a wool pad I want to say. Very aggressive. Looks almost Straight off the sheep

 

[GOTTORQ]

Meguiars m205 with a foam pad should do it. If there deeper than that, use meguiars m105 followed by m205 then wax. What kind of machine are you using?

 

[bottle_fed]

Nothing anymore. Looking to pick up a random orbital. Anything you would recommend

 

[GOTTORQ]

Griots garage, I love there machines
Edit: http://www.griotsgarage.com/product/griots+garage+random+orbital+gen2.do?sortby=ourPicks

 

[bottle_fed]

Nice. Can I get the meguiars at most auto parts store?

 

[GOTTORQ]

Yes autozone and other stores usually have it

 

[b00stedgt]

I actually just had a thread on this. Based on all the advice i received and research i did, i bought the flex 3401. I'm using it on a black car with swirls as well. The orbital was expensive but i didn't want to cheap out on something that could save my paint