Latex paint stays soft and will stick to objects on the shelf. This is why things like lightswitch plates and door knobs are generally kinda stuck to your walls and doors.

Chalk paint is trendy shit. It's soft and needs to be coated with something to not constantly rub off. The paint itself is extremely matte.

I'd use urethane or oil based enamel paint. It cures much harder and is generally what's used for furniture and cabinets. Clean up is harder, but doing it right the first time will save you time overall.

For a glossier finish you might need to sand between coats. I'd check with the paint itself once you've decided on it.

Once you've got your paint on you don't need to clear coat it. It'll just mess up the paint's curing.