First I would remove the door's inner panel and check that rinse aid has not been leaking down onto the wires.
This unit may have been part of a recall back in 2007
https://repair.maytag.com/repair/dishwasher.jsp?siteCd=MT_EN_USHere are your parts
Replacement parts for mdb9600 models | AppliancePartsPros.comHere is a manual
http://www.servicematters.com/maytag_library/docs/16021814.pdfAnd the tech sheet
http://www.servicematters.com/maytag_library/docs/16026390.pdfThis may help you troubleshoot
http://www.servicematters.com/maytag_library/docs/TDD-0008-S.pdfCheck the control panel (keypad) with a meter, see the tech sheet.
Try running diagnostics.
You may want to try the following cleaning procedure.
It is hard to say if the problems are interrelated.
Not sure how you get it to start as you said only 3 of the buttons are operational.
Also you said that the spray arms do not rotate but did not say if the main motor is running.
If motor is not running check to see if it is getting voltage.
Connector Cleaning / CheckingUnplug the unit
Open it up
Remove the ribbon cable from the keypad to the control board at the control board.
Clean the edge connector.
If it is the type where there is not a connector just the insulation is removed, it can be cleaned with a pencil eraser. Do not use an ink eraser as it is too abrasive.
Check the tracks in the ribbon cable for hairline cracks. A magnifying glass helps here.
Would not hurt to clean the connector on the board. Use electronics contact cleaner or isopropyl alcohol and a tooth brush. Be gentle and do not reconnect till all the solvent evaporates.
Reconnect everything and give it a try.
If you do not own a meter, I would suggest you purchase a one. You can get a decent digital multimeter for under $20.00. You do not need fancy though it is nice if the leads are a couple feet long.
If it saves ordering one unnecessary part it has paid for itself and you end up owning a useful tool.
Most places will not let you return electrical parts so if you order it, you own it.
A couple things to watch when measuring ohms and continuity
1. Always remove power from the machine otherwise you could blow your meter.
2. Always disconnect at least one side of any device you are checking. This eliminates the possibility of measuring an alternate/parallel circuit path.
3. When checking for closed contacts and continuity use the lowest scale (Usually 200 ohms). Then try higher scales. This scale is 0 to 200 ohms so if the device you are measuring is 300 ohms this scale would show an open circuit which it is not, you are just measuring outside the scale's dynamic range.
There is a good STICKY at the start of this forum about it's use.