Camera will not stay on when stared - Kodak EasyShare Z1275 Digital Camera

Try staring up the camera while hitting the rewind button

Take the camera back....this will bother you as long as you own the camera.

I have similar problems, first it got off by it self all the time, when I was staring the zoom, then I went to Fuji. Afterwards the camera is starting and it goes off by itself. After 6 times it remains on

check the fuel pressure, could be your pump or regulator.

You don't say what sort of telephoto you want to buy or how much money you want to spend but basically anything longer than a 50 mm is regarded as telephoto.
A staring point for you maybe the lens listed below: Nikon Telephoto Zoom 70-300mm f/4.5-5.6G IF-ED AF-S VR
It importantly has VR or "Vibration Reduction" on it to reduce camera blur when hand holding telephoto shots. This is just a staring point... You need to work out what you want to photograph Cheers Ian

has the bike sat up for a while if so clean the carbgood soak it and blow it out with high pressure air if not contact me with more info

try adjusting the idle screw on the carb.

sounds like the gas went bad and stoped up a carburator clean them up and blow jets out with high pressure air this should help good luck

do a tune up.

More deratail please how do you see the 'spot' on the screen or on the print or both, What was the subject matter? Any muck on the lens?