ok... well here are some pics of a backlight so you can see what we are talking about...
I don't have a 60 open right now but here is a S950 (same idea)
As you can see the leads on your wire have been ripped from the backlight. The backlight just slips right in under your display. I think repairing this would not really be worth it. I would just order a new backlight ($40 shipped in USA) or send the display out and have it repaired since you have it disassembled anyway. telesis sells the backlights and they also do the repair but the prices are a little high. If you feel you don't want to get into this, I do tech work and you can send it to me. I am confident that you can do the install so maybe we can walk you through it. If not we can discuss your other options. We'll get you straight don't worry.