From 2006 LX Service Manual (You might try to download the one for your year. I'm not sure if the troubleshooting is different). Can you tell if the starter is trying to engage?
STARTER FAILS
TO ENGAGE.
1. BATTERY
DISCHARGED OR
FAULTY.
2. STARTING CIRCUIT
WIRING FAULTY.
3. STARTER RELAY
FAULTY.
4. IGNITION SWITCH
FAULTY.
5. PARK/NEUTRAL
POSITION SWITCH
(AUTO TRANS) FAULTY
OR MIS-ADJUSTED.
6. CLUTCH INTERLOCK
SWITCH (MAN TRANS)
FAULTY.
7. STARTER SOLENOID
FAULTY.
8. STARTER ASSEMBLY
FAULTY.
9. FAULTY TEETH ON
RING GEAR.
10. PCM DOUBLE
START OVERRIDE
OUTPUT FAILURE.
1. REFER TO THE BATTERY SECTION FOR MORE
INFORMATION. CHARGE OR REPLACE BATTERY, IF
REQUIRED.
2. REFER TO FEED CIRCUIT RESISTANCE TEST AND FEED
CIRCUIT TEST IN THIS SECTION.
3. REFER TO RELAY TEST, IN THIS SECTION. REPLACE
RELAY, IF NECESSARY.
4. REFER TO IGNITION SWITCH TEST, IN THE STEERING
SECTION OR 8 WIRING DIAGRAMS. REPLACE SWITCH, IF
NECESSARY.
5. REFER PARK/NEUTRAL POSITION SWITCH TEST, IN THE
TRANSAXLE. SECTION FOR MORE INFORMATION. REPLACE
SWITCH, IF NECESSARY.
6. REFER TO CLUTCH PEDAL POSITION SWITCH TEST, IN
THE CLUTCH. SECTION. REPLACE SWITCH, IF NECESSARY.
7. REFER TO SOLENOID TEST, IN THIS SECTION. REPLACE
STARTER ASSEMBLY, IF NECESSARY.
8. IF ALL OTHER STARTING SYSTEM COMPONENTS AND
CIRCUITS CHECK OK, REPLACE STARTER ASSEMBLY.
9. ROTATE FLYWHEEL 360°, AND INSPECT TEETH AND RING
GEAR REPLACED IF DAMAGED.
10. REFER TO PCM DIAGNOSTIC. CHECK FOR CONTINUITY
BETWEEN PCM AND TERMINAL 85. REPAIR OPEN CIRCUIT
AS REQUIRED. IF OK, PCM MAY BE DEFECTIVE.
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STARTER
ENGAGES,
FAILS TO TURN
ENGINE.
1. BATTERY
DISCHARGED OR
FAULTY.
2. STARTING CIRCUIT
WIRING FAULTY.
3. STARTER ASSEMBLY
FAULTY.
4. ENGINE SEIZED.
5. LOOSE
CONNECTION AT
BATTERY, PDC,
STARTER, OR ENGINE
GROUND.
6. FAULTY TEETH ON
RING GEAR.
1. REFER TO THE BATTERY SECTION FOR MORE
INFORMATION. CHARGE OR REPLACE BATTERY AS
NECESSARY.
2. REFER TO THE FEED CIRCUIT RESISTANCE TEST AND
THE FEED CIRCUIT TEST IN THIS SECTION. REPAIR AS
NECESSARY.
3. IF ALL OTHER STARTING SYSTEM COMPONENTS AND
CIRCUITS CHECK OK, REPLACE STARTER ASSEMBLY.
4. REFER TO THE ENGINE SECTION, FOR DIAGNOSTIC AND
SERVICE PROCEDURES.
5. INSPECT FOR LOOSE CONNECTIONS.
6. ROTATE FLYWHEEL 360°, ANDGEAR REPLACED IF DAMAGED.
INSPECT TEETH AND RING