Yarr, they look to be hot pixels, matey.
The first thing to check is if those pixels are brightly colored, or "hot," with a normal shutter speed in good light. If they disappear with a shorter exposure, no real need to worry (if there was a need to worry in the first place).
Most likely, they are being caused by the senor heating up due to the long exposure, resulting in a longer "on" time. They are relatively easy to get rid of, of course, being only one pixel in size and easy to spot. I had a Nikon Coolpix that did this - but only with certain shutter speeds if the camera had been on a while. Otherwise, they are easy to fix.
It is somewhat frightening to open a photo and see a bright, red (in my case) dot in the middle of the photo, though.