Does this shutter mount at the factory attachment points?

Yes. It mounts at factory rocker points — no drilling or frame modification needed. Use your existing fastener locations for a straight bolt-on fit.

Can I paint or coat this before installing it?

You can, but it arrives in black finish ready to mount. If you want a custom color or protective coating, prep and paint it before installation to avoid masking around mounted hardware.

Since there's no actuator, will this shutter stay open or closed?

It's a static panel — it stays in whatever position you mount it. If you want active open/close control, you'll need to source an actuator separately and wire it yourself, or leave it stationary as a fixed intake blocker.