Lost in smoke

Ignition coil would be my first guess, or maybe the module in the distributor. Some auto parts stores have testers for the module. The coil can be tested with an ohm meter, but I've had a few instances where they test ok but are faulty. A whole rebuilt distributor might not be too expensive.

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HI....
The cause of the engine come Overheat.
The WATER PUMP. on your car Is driven with the TIMING belt.
My solution is :
Don't drive more Because if the TIMING belt when Broken.
The HEAD VALVES can be damaged. Be careful.
Get the car to a Autorepair SHOP. or if you can do yourselft.
REPLACE the water pump and the Timing belt.
And check all the pulleys after you remove the covers and timing belt.
Inspect the SEALS replace if need.

If you need assistence to do yourselft.
I can give the info.

I hope this help on your problem.

wait a while till you run it in
turbo boost should be low on a rebuilt motor at first

new rebuilt engines smoke till the carbon ring forms on the new head gasket

if not happy after a week check out the turbo

Whatever you do, do NOT continue driving it this way until it is fixed. Hydraulic lockup can bend a piston rod ot even detonate the engne.
I think it got so hot at one point that it blew a head gasket.
Have a qualified mechanic perform a cooling system Pressure check.
If it holds pressure, which I doubt, it may be antifreeze running into your cylinders from he intake manifold. But the pressure test should tell you which head gasket it is, but have BOTH replaced, since they both underwent the stress.AND while replacing those gaskets, a new intake gasket will be installed too, as a matter of course. The price is about the same, since they have the top of the engine apart anyway. Just for information: White "smoke" is vaporized coolant or water being pushed out the tailpipe from the engine. Blue "Smoke" is oil, and Black "smoke" is soot- too much unburned fuel.

You put something back the wrong way.....any amount of water in the tank, carb or whatever WILL NOT cause the engine not to fire.....check any wiring/rewiring you did for accuracy

You forgot to replace the whole car or engine!

Remove the Distributor cap and watch the rotor as you crank the engine. If the motor is turning over and the rotor is not moving then you have a broken Timing belt. If this is the case the Belt broken while the engine was running. I can tell you from experience, I owned one of these and mine did the same thing, Every valve in the head is bent. The good news it is not hard to replace on your own and it can be done without removing the engine. The bad news you have to remove your head and have it serviced by a shop.

have you checked for spark? check all the leads going to the coil from the battery and from the coil to the distributor, if any are loose or faulty it will cause you to lose all power, also check the terminals.

install:

1. The cylinder head should be cleaned and inspected prior to installation.
2. Lightly oil all bolt and stud bolt threads before installation.
3. Clean all gasket mating surfaces thoroughly.
4. Install a new head gasket on the cylinder block. WARNING Always use new cylinder head bolts when installing the cylinder head or damage to the engine may occur.
5. Install the cylinder head on the cylinder block.
6. Tighten the cylinder head bolts in reverse of the removal sequence. Tighten the 2004 cylinder head bolts to 18 ft. lbs. (25 Nm). Tighten an additional 70°, plus 70°, plus another 50°. Tighten 2005 bolts to 18 ft. lbs. (25 Nm). Tighten an additional 60°, plus 60°, plus another 10°.
7. Install the right engine mount. Tighten the engine mount attaching bolts to 22 ft. lbs. (30 Nm).
8. Install or connect the following:
   • Intake manifold
   • Intake manifold support bracket. Tighten the bolts to 18 ft. lbs. (25 Nm).
   • Throttle cable
   • Surge tank coolant hose
   • Heater hose to cylinder head
   • Fuel feed line at the fuel rail
   • All vacuum hoses
   • Exhaust manifold
   • Rear timing belt cover
   • Timing belt tensioner. Tighten the bolts to 18 ft. lbs. (25 Nm).
   • Idler pulley. Tighten the bolts to 18 ft. lbs. (25 Nm).
   • Intake and exhaust camshaft gears. Tighten the bolts to 49 ft. lbs. (68 Nm).
9. Apply a small amount of gasket sealant to the corners of the front camshaft caps and the top of the rear camshaft cover-to-cylinder head seal.
10. Install the valve cover using a new gasket
11. Align the timing marks on the camshaft gears.
12. Align the mark on the crankshaft gear with the notch at the bottom of the rear timing belt cover.
13. Install the timing belt and rotate the water pump clockwise to apply tension to the timing belt.
14. Tighten the water pump bolts to 89 inch lbs. (10 Nm).
15. Adjust the timing belt tension.
16. Install or connect the following:
    • Spark plug wires
    • Upper and lower timing belt coversCrankshaft pulley. Tighten the bolt to 70 ft. lbs. (95 Nm), plus an additional 30°, then another 15°.
    • Accessory drive belt
    • Air cleaner housing
    • Radiator hoses
    • Front splash shield
    • Right front wheel
    • Coolant temperature sensor
    • Fuel feed line from fuel rail
    • IAT sensor
    • Intake manifold pressure sensor
    • DIS coil connector
    • Fuel injector connectors
    • ECM ground terminal
    • Negative battery cable
17. Fill the engine with oil and coolant.
18. Start the engine and check for leak
    

Pull one or two sparkplugs and check them for moisture; not fuel, but for water beads.
I don't know how long your engine ran after losing coolant but there is a chance that you lost the head gasket and have gotten water into the cylinders.