Sand what you have with 1000 grit wet then apply three more nice coats of paint. If the paint goes on with little to no texture you should be safe to lightly polish it out to a fair gloss. Use a light polish like 3M's old Finesse. Or you could apply three to four coats of lacquer clear and colorsand and buff.
The best way would be quit using lacquer products and switch to a basecoat/clearcoat urethane system.