The lights are staying on for a few minutes and then shutting off because the unit is not showing that it is closed. That is also why it doesn't do anything when you press start. This happens on these units quickly and without warning. Some techs say the control panel is locked, others say to replace the control board. The main thing you need to check are the switches on the door latch. You can test the switches by pushing down on the white lever in the door latch opening with a flat head screwdriver. Once you have the lever pressed down, try to set the dishwasher and put start. Let me know if it starts for you or not so I can tell you what to look for or try.
Did you keep the plunger depressed to simulate the door was closed while pushing the buttons?
Kill the power to the unit again and open up the control panel. Locate the switches in the middle that the plunger activates. Test each switch to make sure they function properly.
You can use a voltmeter to test them for continuity when they are depressed(or just listen for each on to click when depressed). The voltmeter is the preferred method but you have to go with what you have. When you take that black box apart make sure you do it carefully and make sure you note how everything is in there. One mistake can botch things up. I see that you clicked the accept button. Just to let you know, that pays the other guy who was talking to you earlier. I haven't submitted an answer yet because we were looking for the real problem.
I can send it to the mods after we are done and see if they can fix it for you. Just make sure that you post the payment was supposed to come to me in the body of one of the posts. Also, any feedback you leave on here will go to him also. Just so you know.
Understood. Just let me know about the switch testing so we can try and get you fixed up.
I will post this as an answer and you can accept it if you would like. This will also make the feedback come to me.