My Pilot 2005 CEL code p0685, car sometimes look like lossing power while driving

ECM problem. The computer. See http://engine-codes.com/p0685_honda.html

As a follow up, I brought this to the dealer today. They replaced the battery and they recommend to monitor it and bring it back once CEL returns. Bring it back home and parked it. After an hour, supposed to pick up my son but can't start the car. All I heard is all click and click. I need to jump the car for the car to start. One weird thing though, I put the gear into neutral and moved few feet away and tried it again and for whatever happened start the engine. Need to bring back the car to the dealer.

Academy Honda called me to leave the car for them to test for more. Tech said cannot figure out what's the problem. There's no draw and alternator works fine. I told them could be a bad battery but they said that the battery test work fine. Will update tomorrow and google for more options.

Honda rep over the phone was telling me that they can replicate the problem. Drove to the store and talked to them, clarifying thing that yesterday the tech told me that they can't resolve they problem. Now was telling me can't replicate it. Funny, but the other rep came that accomodated me the other day that they replaced the MG clutch relay. Charging me 16 bucks for it. Overall, charged me 350, for the 149 diag and others for battery, cable clamp and etc..

$$$$ can't replicate the problem... Correction on top..

Hey.. Im trying to see how would i just know my motor gone in my 2005 honda pilot?