Here are your parts
Replacement parts for Jenn-Air JJW8630CAB WALLOVEN- S/C ELE | AppliancePartsPros.com

Here is a service manual.
http://appliancejunk.com/forums/index.php?action=downloads;sa=view;down=414

Dim Display.
You have 2 options:
1. Replace the display (Item 3 in Section 2).
2. Try fixing the board. There is no guarantee that this will fix the problem but it is a lot cheaper than replacing the board so if you or a friend has experience soldering electronics it may be worth a try. What happens is that over time the electrolytic capacitors in the display power supply dry out/fail and it then does not get the correct voltage. Note: It is important that the polarity of the replacement capacitors be the same.
Following is a link to a post about this problem.
http://forum.appliancepartspros...n.html?highlight=display

Door Closing.
Not sure if this is a single or double oven so have included both kit numbers.
Try removing and re-installing the door, sometimes it is just not mounted correctly.
Does look like they have had problems with these units, see the below kits.
Issue: Door not closing/Door not engaging light switch.
Action: The following kits will contain Hinges, Hinge Assembly Receptacles, and Instruction Sheet
• Install kit number for single and combo units.
Part number: AP4009106