Coilovers are integrated shocks and springs in one unit on a threaded perch so they can be height adjusted, some also have damping and some even have that and rebound adjustment. Cupkit is an H&R product which has traditional shock spring setup but the springs and shocks valving are tuned to match so they work well together.
The race springs will be a bit lower in the front and considerably in the rear from the picture of the sedan. That the 29484 setup, more of raked look. I have the 29484 springs with Koni yellows and I personally like it. The Konis are adjustable so I was able to find a setting which works for everyday. I would also say replace you rear shock mounts while you're at it cuz they have to come out to change the rears and the stock units will wear out.
As far as stock shocks on those springs, don't. Sure it will work for a awhile but not well and when the shocks wear out you'll bounce around everywhere.
You can get the Konis, all four for $500 and can get the 29484 springs for $200, RSM's $60 to $90 for decent ones