You live in California like me. I restore a lot of games. To do it correctly you need to use oil based paints or automotive paints. Now in California you can only get a few colors but if you go to any of our neighboring states you can get stuff customized. Oil is way better than water based paints. It is sandable and decals actually stick to it. It is a pain to clean up but well worth it in the end. It also works good with the foam rollers for a smooth finish. I use a spray gun myself but have used the roller method in the past with good success. Rattle cans are fine but messy. The paint formulas in the rattle cans have been tweaked for California and aren't as good as they used to be. Some of the new blends react to the media used to make stencils so you also have to be mindful of that. If you provide the name of the pin being painted I can likely give you some more specific pointers.

Ok - Star Trek is pretty basic in colors. You should be able to find what you need in state. As others have stated "prep is king". You need to go down to bare wood on a old game like that. Sand to bare wood, fill all the holes and prime with Kilz oil based primer. Sand the primer with 220 sandpaper when dry. It should be silky smooth when you're done. I would recommend Rustoleum oil based paints in the quart cans for your game. Those are available in California in the colors you need. Do 2 coats with your base coat and let that dry good. Apply your stencils and roll a single coat of paint of your next color. After you're happy with it pull off the stencils while the paint is wet. Let it dry and repeat for the last color. The end result is very factory looking. No need to clear coat. The factory didn't do it and it has to be done very well to not happer the end result.

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The blues were spayed but the black was rolled. I would recommend the oil based primer for best results. Spraying is pretty easy to do and you can buy a cheap setup for around $100. The problem is California has outlawed mineral spirits and you really need them to spray oil based paints. Oil based paints are too thick to spray without it and the California alternative drys to quick. I still buy mineral spirts whenever I find myself at a Home Depot in any other state.