The K-series ships from Rover with 2 sizes of flywheel, depending on the application. For a Caterham installation you need the small one. The 1.6 K-series that I got from a scrapped Rover 216 had the right size, I guess yours is a 1.8?
The AP clutch from Caterham is probably your best bet. It's what they fit to the SLR and R500. Peter C's ultra-lightweight flywheel and 5in clutch are superbly light, but it's not designed for slipping to every pull away is a full-bore wheelspin start. I'd find that a bit tedious for road use, YMMV.
Mike