2003 Mazda Etude starting the engine

Doublecheck all the timing marks make sure they're correct and try again or the alternative the symptoms below

SYMPTOM DIAGNOSIS
CAUTION: When battery is disconnected, vehicle computer may lose memory data. Driveability problems may exist until computer systems have completed a relearn cycle. See COMPUTER RELEARN PROCEDURE - MAZDA article in GENERAL INFORMATION before disconnecting the battery.

SYMPTOM DIAGNOSIS > CRANKS NORMALLY BUT WILL NOT START

NOTE: If this symptom appears after engine stall, see ENGINE STALLS AT IDLE OR JUST AFTER STARTING .

Check for no battery power supply to PCM.
Check for air leakage from intake-air system.
Check for open PCM ground or vehicle body ground.
Check for improper operation of electronic throttle control system.
Check for EGR valve malfunction
Check for no signal from CKP sensor due to sensor or related wire.
Check for no signal from CMP sensor due to sensor or related wire
Check for low engine compression.
Check for vacuum leakage.
Check for disconnected harness connector.
Check for spark leakage from high-tension leads.
Check for poor fuel quality.
Check for PCV valve malfunction.
Check for fuel pump cut-off switch malfunction (B2300, B3000, B4000 and Tribute).
Check for air cleaner restriction.
Check for restriction in exhaust system.
Check for disconnected electrical connector.
Check for open or short circuit in fuel pump and related harness.
Check for inadequate fuel pressure.
Check for fuel pump mechanical malfunction.
Check for fuel leakage from injector.
Check for fuel injector clogging.
Check for purge solenoid valve malfunction.
Check for ignition coil malfunction.
Check for improper air/fuel ratio control.
Check for improper valve timing.
Check for Improper operation of variable valve timing control system.
Check for immobilizer system (PATS) circuit malfunction.
Check for pressure regulator malfunction.