Detailing the original paint.....any tips???

[southplainsag02]

The wife and kids are going to be out of town this weekend and I want to spend the alone time detailing my truck. It has the factory original paint and I want to bring out the best shine that I can.
Two problems though...previous owners son got shoe polish on the paint and there are little flakes dried on the paint. What is the best way to get this off. The other problem is that there is some patina on the roof and a little on the fenders. If I use some kind of compound will it make this worse?
What are the best products and tools to restore old paint?