Any accidental grounding of battery, during removal or install may have blown a relay or fuse. So check if you had/saw any sparks.
But dash lights on, as IG SW key turned to ON, IG SW turned to start and than dash lights dim and a click heard; indicate starter!
Click when IG SW just turn to ON (not start) is not the starter. Click when IG SW turned to start "may" be starter.
With immobilizer, fuel cut off safety or transmission lockout switch issues. The starter will not click, dash lights do not normally dim. As no power diverted from battery to stater.
You've a good idea to fully charge battery. You'll want 12.7V or better for this test.
- Make sure battery post and cable clamps clean of oxidation on fully charged battery.
- Attach and "Sung" down positive battery clamp first. Just sung until you can not rotate clamp on post. Over tightening damage clamp. Then do same to negative side.
- Make sure transmission in park, give shift a palm hit forward.
- Observe security light on center consul flashing. Insert IG key and observe security light, it should go away/stop blinking.
- Turn IG to on and observe self-test warning lights all come on. Turn to start: No crank: put shiftier in N. Try again. If in either P or N, lights dim and hear a click but engine does not crank (turn over) as you try to start (turn key to start). Very likely starer.
A bad starter will very often give early warning. In that it sometimes turns engine over (cranks) other times will not. This is starter contacts 90 % of time, not making a good contact, then good enough. A trick (great clue, that works about 80% of the time) to confirm bad starter contact, in a 98-05. Take the chrome bar from tool kit. Remove engine cover. Tap on starter through/between intake manifold tubes nearest back of engine. Do not tap on plastic or wires. Just metal housing of starter. This taping, vibration cause movement of starter contact plunges washer. Which we than very often find it starts, Sure clue contact of starter bad.
Above assumes, nothing else was touched during bulb replacement. Like a ground disconnected.
