Samsung 105 camera was in wrong mode and photos were taken in b&w. How to convert back to color?

Press button at the left of "Trash" to see photos.
All cameras have the button...

You will need to adjust the "white balance". Your camera may be able to do this by pointing it at a gray surface, and setting something. I don't have your camera instructions, but it's a normal adjustment for indoors.

Change the color mode to "Black & White". See this page of the user guide.

You might want to consider taking color photos and waiting to convert to black & white until you get them on a computer. Converting on a computer gives you much more control over factors such as contrast and luminescence.

Unless you want to colorize them by hand, there's no way to add color to black and white photos. Given a black and white photo showing a person in a gray dress, how do you know whether the dress was blue or red or some other color?

The TG-310 does not have any way of taking black&white photos, nor does it offer a method to convert photos to black&white.
However, you can convert a color photo to black&white (or sepia, or cyanotype, or a lot of other effects) using just about any photo editing program on a computer. This actually gives you more control over the conversion, as you can control things like contrast and brightness.

Check your computer settings. It has programming to make Negatives like the old photo film would produce and this may be the Mode that it is set for. You could also be in the Infared Mode which would give you more strange results.

I am not an expert for this area, but I have used some of the photo programs both on my set and at the Drugstores. You could also have set your Camera, if Digital, for the wrong Mode and taken the photos in Infared or Negative Modes. The printer would not be at fault, just accurately printing the way it was recorded.

You have over exposed pictures due to the shutter sticking.
The video is the clue to the problem. It doesn't use the shutter.
Shutter needs to be cleaned. This is no easy task im afraid

Many digital cameras have different settings for the background color, my Samsung L200 for example has a setting that will make the pictures normal, black and white, sepia OR have a red, blue or green tint....you may want to check those settings... Otherwise... check to ensure the lense itself is not smudged... I have seen a smudged/dirty lense cause a similar issue.. what type of camera is it??

This is a CCD problem There was a recall across a range of makers and models because of a bad batch of CCD's that all makers used. Get onto Samsung Customer support- you may be one of them

If the color LCD is not illuminated when the camera power is turned on, check the following: * The camera may be in the wrong mode. Run this check to test the LCD: 1. Make sure the camera power is on (the lens cover should be open). 2. Press the Review button (top left) on the back of the camera. The LCD will display the last photo taken. To exit the Play mode, turn the camera power off. * The camera may be connected to a TV. Disconnect the camera from the TV and try the LCD again. * The batteries may be weak. Replace the batteries or use the AC adapter. To save battery power, use the optical viewfinder when composing photos.