Are the original disc created on a camcorder or a standalone DVD recorder?
When you record on a DVD+RW in DVD recorders (and I’m guessing also camcorders), the disc is automatically “finalized” so that it can be read in DVD players and the DVD drive in your computer.
DVD-RW media on the other hand has to be manually “finalized” in order to be read in other players and drives.
So you might have to reinsert the DVD-RW into your camcorder or DVD recorder and choose to “finalize” the disc. The term may be something else than “finalize” depending on equipment.
There’s also the added complication of DVD-RW having two different formats when recorded, one being “DVD Video” which is the same format as commercial DVDs, and the other being “DVD-VR” with better editing features but not compatible with (most) DVD players.
Some video programs may be able to read DVD Video and not DVD-VR.
Welcome to CDFreaks! 