I have a few comments.
First, Starting off with 1200 is OK if you use it enough that all orange peel is gone, and the surface is flat. Then I do 1500, 2000 and 2500. I have never done 3000, but I know a lot of people do. If the 3000 left sanding scratches, that means you did not progress through the grits in a timely manner. Think of it like this. You said you sanded 1200 grit, 1500, 2000, and then 3000 prior to polishing. You need to use the 1500 enough to get rid of all the 1200 grit scratches leaving only 1500 grit scratches. Then move on to the 2000 and use it until the 1500 scratches are all gone, and all that was left was 2000 scratches. Then move on to the 3000 and use it until the 2000 scratches are all gone, and all that was left was 3000 scratches. If you did NOT use the 1500 enough to get rid of the 1200 scratches, and then did not use the 2000 enough to get rid of the 1500 scratches (and so on), then after the 3000 you still have some left over 'deep' 1200 scratches that were not totally erased with the 1500. Those will be hard to polish out.
Second, I am not a fan of the Norton Liquid Ice system. I do not buy into the use of only one grit of compound and different pads. Plus, I have read a lot more negative reviews than good ones on that product. I use the 3M Perfect It 3 stage process. It comes with 3 pads and 3 grits of compound. I think that is also a big part of why you still have scratches. Go to Ebay and find a starter set of the perfect It. I paid about $100 for 3 pads and 3 pints of compound. Try rebuffing one area. If that gets rid of the scratches fine. If not, try a wool pad and a bottle of a fairly aggressive compound followed by the Perfect It system. If that doesn't do it. I hope you put on enough clear, because you will be sanding again.