water in transmission and lack of power D6D

When it rains it pours. I had to dig a hole this afternoon and all that was available was the D6. I had it running a while ago and it was fine. We have had an ice storm and 12 inches of snow since.
Taday it started fine, then when I went to push it just seemed to lose power. When I dropped the blade and opened the throttle it just bogged down. I notices a lot of blue/white smoke Also a lot of smoke coming from the turbocharger housing. Much like an oil leak on the manifold. I also noticed the hose from the oil cooler on the left side of the engine was leaking and spitting out what looked like oil with water. When I checked the transmisison oil it looked like a water oil mix also. Then when I tried to start up to go back to the shop, it cranked about a half turn then the reset button on the dash popped out. I tried to restart 6 or 7 times with the same result. I had plenty of battery at the starter as it spun the starter motor fine. I could not short against the solenoid wire with what i had to test the solenoid. With a 40 mph North wind I just said to heck with it. I don't have oil in the radiator, so I really don't think it is the heat exchanger. Engine oil is fine. Is there a place that water can enter the transmission from snowmelt? I am pretty sure the rain cap waas blown up when the ice storm hit and water went in to the turbo and froze.

As far as the water in your trans goes, its either coming past your selector shafts or the cooler.
Don't be fooled by those coolers. Although in theory the pressure is higher on the trans side and you should therefore see oil in the radiator, it is quite often not the case.
Often very difficult to find a leak in the coolers even with compressed air.