My car over heated now it wont start 1989 civic

Your Civic has a manual tranny - correct? The problem could be a bad Clutch Safety switch. Many Hondas are listed as having this switch with the manual tranny. The switch prevents the car from starting if the tranny is in gear and the clutch is not depressed, preventing the car from lunging forward. If the switch is there , it is located on the clutch pedal bracket. The switch has two wires, so if you remove the electrical plug from the switch and jump the plug, maybe the car will start? Good Luck!!!

Is there any work done on the Civic before this no start condition?
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Use a bottle of yellow HEET dry gas to remove any moisture problem in the fuel.

Clean / replace air filter.

Top off ATF to MAX level.

Use starting fluid to aid starting.

Switch may be bad . If you have no power to any accessories .

check and see if the fuel pump is working

Your emission system (including vacuum lines) should be on a diagram on the bottom of the hood of your car. If not, leave a comment, and I will investigate further.
Hope this helps.

If you are referring to no crank when you turn the key then I would say the starter is going bad.If it cranks and wont turn over(run) I would say check the coil.

check compression on all cylinders should be well over 100 psi. if ok double check timing could be one tooth out.

check main relay on kick panel driver side

Sounds like an electrical problem; I'm not that familiar with Civics, but I would check your ignition coil and/or fuel pump. It could be that after these things heat up, they stop working; I've had that happen on an older GM vehicle.

Basic things,

Is the cranking speed good? Slow?

Is the fuel pump working? If yes..
Is the fuel filter clogged?

Are the drive teeth on the starter itself ok?

Do you have good compression in all cylinders (if it is low then assume a slipped timing belt.)