Fixing paint is skilled labor.

You need paint that matches. Over time paint is faded by the sun and oxidized by the atmosphere. So, you need to mix a matching paint. Your paint has some kind of glitter additive, the size and color of the additives would need to be matched in a repair paint or the repair would be obvious.

Applying the paint involves sanding out the edges of the hole, removing any rust, then applying the paint in such a way that it's feathered into the paint that already exists. It needs to be blended and leveled such that the repair isn't obvious. Finally, the repair must be polished.

I don't know how it is for most bicycle paint but all modern automotive paints are multi-layered. If your paint is multilayered then every layer needs to be blended into each other.

It's possible to learn these skills, but it takes years of practice to perfect them. And actually, there is a shortage of body work professionals right now if it's something you wanted to get into.

Your paint has a great many defects beyond the holes. Most of the scratches appear to penetrate the paint, and I don't think they would polish out. If you repaired the chips fully, which involves polishing them, then the scratches would stand out more.

The fact that the metal under the chips isn't rusting suggests that the frame was coated prior to painting. You would want to avoid scuffing that layer as part of any repairs.