Check the battery. If the battery is fully charged, momentarily touch a screwdriver or clip leads across the terminals there. The engine should immediately crank. If it passes this test then check the neutral safety switch at the clutch pedal. Pull the connector, short the terminals and then with the car in neutral, try and crank the engine. If it does there's the problem. As for no spark, check the module and the coil. Remember your car at 38 years old is an antique and will require TLC,
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" THE BLACK PARALYZER" -87GT 3800SC Series III engine, custom ZZP /Frozen Boost Intercooler setup, 3.4" Pulley, Northstar TB, LS1 MAF, 3" Spintech/Hedman Exhaust, P-log Manifold, Autolite 104's, MSD wires, Custom CAI, 4T65eHD w. custom axles, Champion Radiator, S10 Brake Booster, HP Tuners VCM Suite.
"THE COLUSSUS"
87GT - ALL OUT 3.4L Turbocharged engine, Garrett Hybrid Turbo, MSD ign., modified TH125H
" ON THE LOOSE WITHOUT THE JUICE "