This regiment was probably using the same cornets as they did in James II's time. These were plain white with no device with yellow and silver fringing and tassels.
You have done a great paint job but they really have the wrong hats. I have done similar units, although not as well as you, and I used 'floppy' hats from the ECW/TYW range instead of the post 1700 ones.
I hope this helps.