Lost all electric and 01 Accent died while driving down highway

99% of the time if ALL power is lost then comes back it's dirty battery cables.

This is what happened to me. I had lost coolant (because of a crack in the radiator, the engine overheated, and cracked the head. I was going 75 down the highway and lost all compression.

It's leaking out of your water pump.It is leaking while you are driving,when you stop,it's all gone,on the highway.

Check the fluid, with the motor in park.

By you saying the engine "Dies" I am going to assume it restarts.
If the timing belt failed the engine would not start again until the belt was replaced.
So it could be a fuel or electrical problem.

Most engines don't fair well under extreme heat. It's apparent you might have some electrical issue's. Your rpm's or mph arm going up and down could be faulty speed sensor would cause arm problem. I think you may have more than one problem, the car shutting off is due to engine over-heating. Check cooling system-thermostat, water pump, radiator, engine fans and coolant temp sensor and fan relay's. It could be as simple as blown radiator hose.

can be ICP ingection control pressure sensor

Computer controlled transmissions can get confused at times, from my personal experience. If the problem doesn't happen again, I would ignore it. If it happens all the time, it's most likely the transmission computer. Other things could be the shift linkage, engine vacuum leak, speed sensor, etc... Hope this helps.

Whenever the "Check Engine" light comes on, there is always a DTC (Diagnostic Trouble Code) stored in the ECM (Engine Control Module). You'll need an OBDII (On-Board-Diagnostics) scanner to retrieve any codes recorded/set in ECM. Once you do this and let us know what, if any codes are set, then we can go from there.

junk it...buy american!!!!!