I have an 1987 cavalier 2.0L. It will start in the morning but after you get it hot it will not start again until the next morning. When not starting it gets spark. Any ideas?

get ignition coil checked. If it is EFI DO NOT press on Accelerator when starting it.
Could have a leak in fuel and it evaporates over night
if carby fuel may be leaking out over night as vapour. In mornng you are fuel pump refilling fuel into carby until it starts again.

Sounds like a "HOT SOAK" problem.
Starter gets hot,it lacks power to crank the engine.

Possible "Vapor lock".

Check for engine codes.Possible bad temp sensor for ECU.

If fuel delivery is suspect ,try starting fluid into intake when "no start" occurs to diagnose fuel problem.

It isn't over heating correct? When it starts acting up, what exactly is happening? Any engine light coming on?

Have you checked the fuel filter / fuel pressure ? Dirty air filter ?

Try pulling the vacuum line off of the EGR valve when the engine is warm and starts to sputter. If it runs good cold and then dies when warm and won't start again until the engine cools it is most likely a bad or sticking EGR valve. Try the procedure to confirm it is the EGR. You can check the internet for location and an image of the EGR valve for your specific car. Please rate me on this answer.

Could be your coil has failed.

sounds like you need a new battery you can remove this one and have it tested but i believe that is what the problem is

Ignition module may help.

the car should have a coil pack...when you changed the plugs and wires they cap would have been at the top end of the plug wires. other wise it wil be at the front of the car where the plug wires or sparkplugs run to

check your tail pipe for a "clog" engine not breathing correctly.