And....as stated before...read the can on the both...but pay paticular attention to the recoat. time on the base color....
Some can be recoated at any time, but most either need to be recoated within an hour or several days later.
Since you said your paint job wasn't shiny enough, here's a couple of tips, (because your clear may not help):
#1: Your paint should be super smooth. If it's not wet sand with 1500 grit sandpaper until it is rinse well, wipe dry, and tack rag it.
#2: Try to spray when the temperature is low.
#3: Put your spray can in the refrigerator if its hot outside....and make sure you are in the shade.
If you follow the above ^ you might find clear coat unecessary...
At any rate....modern base coat /clear coat finishes seem to be based on an expected last step of wet sanding followed by buffing....