Starter not spining

Couple possibilities. Was the starter just replaced? If so. Were their any shims (small metal pieces) that were not put back? They space the starter so the bendix and gear can align with fly wheel.. secondly could be a bad starter, broke bendix. Bad gear..or third missing teeth on either fly wheel or starter..

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When you say "now won't start" does the starter motor spin the engine the engine just never fires, or does the starter motor not even spin the engine? Do all the electrical accessories seem to work correctly? How deep was the puddle? Did the "smoke" smell like something melting, or might it have just been steam from water on the hot exhaust?

Check your battery contacts. If they have corrosion or are loose it is conceivable that the solenoid will activate (the clicks) but the power from the battery will not transmit to the starter motor.

get new computer

Sounds like the starter solenoid or starter motor not engageing. Remove the complete starter motor assembly and take it to a shop to have it tested. Also when you remove the starter from engine look at the flywheel teeth to see if they are sheared off causing a no start condition. Hope this will help you.

See these items:-

The starter must have been bad due to the water.

Bad PCM or ignition coil.

Corroded battery cables.

See timing belt.

Good luck

Does the starting solenoid engages? This is would sound like a deep clunk on your starter. When the solenoid engages it close the contact that energize the starter motor, but a worn contact on the solenoid would result in it engaging but not having enough current to turn the engine resulting in a clunking noise when you try to start.
The starter solenoid gets its 12 volt from a relay. This is referred to as the starter relay. If you try to crank, and you hear only a click but the starter do not turn, then the contacts on the relay maybe worn.
To sum it up, if you hear a loud clunk when it dont crank, its the starter solenoid. If you hear just a click but no crank, it could be the starter relay.

I agree with "emissionwiz". What probably happened was you hydrostatic-ally locked your engine. What happens is when you went through that puddle water got sucked into the intake and into the engine. Water being a liquid cannot be compressed and stalled the engine and most likely bent some internal components. If you can hear the starter click but the engine won't turn over you've got a 99% chance its a ruined engine. If you don't want to believe that try turning the engine over by hand (socket on crankshaft), you should be able to turn it, if not it's done for. Good luck and sorry about the misfortune but next time go very slow through puddles.

it you can hear the starter motor spining but is not engaging into the fly wheel then the starter motor will need to be re-conditioned or replaced