Whale,
What do you have connected to those two temp channels? Since two of the four lines are still good i would think the module is still functioning fine. Since two of the lines that go crazy begin well and stay good for a while, i don't think anything on the internal circuitry of those channels is in question.
Have you tried connecting those two temp inputs to some other channel inputs on the same module? Knowing if the bahavior follows the inputs or the specific channels on the module could be helpful too.
Regards,
Pravin