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P0700 - Trans control system malfunction.
P0725 - Engine speed sensor circuit

These two go hand in hand. If the input speed sensor or output speed sensor on the trans isn't working right while heated, it will shut things down to prevent damage.

I would look at the transmission input speed sensor first.

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Unfortunately I can only point out what the general errors mean, and that the two are most certainly related. I do not share the same engine you have (I roll the V6) so I am unable to even look for you. I would start checking wires and connections. Look for any chafed or worn insulation, rusted ground points, etc.
For what it's worth, I've found the haynes manual to be riddled with errors in regards to my car. There is three engines (2.0, 2.4, 2.5v6) and three trans (5sp manual, 4sp auto, 4sp tiptronic), and they don't seem to have the correct combination there.

If you can find a copy of the "Factory service manual" that would be your best bet, it is what the dealership mechanics have access to and is usually very detailed about where things are, as well as how to get to them.

i had the same problem and changed both sensors input and output and problem solved, if you have a someone with the same car you can try it out first and see what happen. my problem were those 2 sensors.

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P0320 Ignition/Distributor Engine Speed Input Circuit Malfunction
P1319 No listing
p1489 No listing

So... The first one just tells you what you already knew. I wonder if the others are related to the ecu malfunction your original codes showed?