As he said, the Deans connector has a "T" shape. The top horizontal part of the "T" is the positive, the vertical part is the negative.
That plane is a wonderful flyer I have one.
Any 30 to 40A ESC should work fine... I've used some e-cheapo Asian (
www.hobbycity.com ) ESC's on it without any problems.
What motor do you have in there?
Check out your receiver... connect any standard glow battery pack to any of the open channel terminals and make sure that all of the surfaces move properly.
I keep older batteries that still work, around for this purpose... if I blow the battery I don't really care...
If everything does work, you'll have to do is replace the ESC.
The receiver has a separate battery plug, be VERY careful with it. It can be relatively easy to insert the battery connector backward if it is not keyed with more than a bevel.
I believe the E-Flite ESC you are using has it's own BEC, so you really don't need a separate battery pack with it. If you plugged one in, this may have caused a problem especially if you first did not disconnect the ESC's power to the RX or disable it on the RX itself ( some have jumpers to do this ... ).