Question When I put my AAA betties in my camera, the door wont stay shut. I have to hold the batty door in to use my camera.

probly the door interlocks at fault

Okay, from what you are saying its the weight of the battery that makes the battery cover fall of so i would apply a little, emphasis on little bit of glue before i put in the battery to hold the battery in place so the battery stays in even when the cover is not in place, then find a more stylish way of keeping the cover in place, maybe A LITTLE glue to the ridges that the cover slides on will be enough, you wont have any problem prying both lose when you have to, A LITTLE, lol , Hope this helps..

replace the dvd rom

Not worth the money to fix it....just a little tape will work wonders.

Look at the end of the door where the latch is located. The latch may have flipped to the closed possition when the door was open.There is a U shaped piece that when the door hits the post on the door jam it flips up to hold the door shut.If you can get the passinger door open you can see what it looks like in the open position. If this is the problem just hold the door handle like you are opening the door and with a srew driver or even your finger you can push than U piece back down.To keep your door from freezing shut try putting sone silicone spray on a paper towl and wiping it on the rubber door seal.Spray a little on the door latch as well.

The lower hinge on each door may have a door closing cam. It raises the door up ¼ inch when opening and this assist in closing the door. If it’s wore out and doesn’t work the door may not seal and the gasket can be damaged. Watch the operation of the door to see if it rises up when opened.

Leave the door shut and let the magnetic gasket hold the door in place. Put something between the bottom of the door and the floor to hold it in case it slips.
Remove the bracket holding the pin and hinge assembly taking note of order of removal of parts. Slide new cams on. You probably need two.

The door latch could be closed, in other words, the door thinks it shut into the striker. Take and hold the door handle open, like your trying to open the door, hold the handle out or up and at the same time open the latch, it may be stuck or closed...If that's not it, you may have to re-align the latch to the striker, the striker will come loose with a torx bit. Loosen it up, and move it around and re tighten, it's a trial and error deal, just keep trying different positions until if works right...

get new batties

Here are some simple things to try first for a camera that won't power on. They won't work for every case, but they're worth a try:
http://camerarepair.blogspot.com/2007/11/simple-fix-for-dead-cameras-that-wont.html

If the above didn't work, then consider the following:
http://camerarepair.blogspot.com/2007/12/fixing-lens-error-on-digital-camera.html

TRY RECHARAGEABLE BATTERIES...IF THIS DOES NOT WORK THEN YOUR CAMRA MADE A SHORT CIRCUIT