The Panasonic Lumix DMC-TZ5 was released March, 2008. It is the third camera in the TZ series, with a 3.0 inch viewing screen, 28-280 lens (10x optical zoom) and 9.1 megapixels. The TZ5 also has 720p HD video recording.
Lindsey, sounds like a bad lens. You can try and disassemble your camera and clean all the connectors. Also, clean the camera lens with some high grade isopropyl alcohol. If that does not work, you might want to consider changing the lens.