Oven Not heating Properly

Our oven, that has been flawless until now (exactly 10 yrs old),does not seem to be heating correctly. The bake element does come on for the pre-heat cycle(350f) and I have measured temperature with a heat gun after the pre-heat cycle the bottom pan is aprox 400F. I have put a ceramic bowl on the middle rack and raised the temerature to 450f after 10 minutes the small ceramic bowl only reads about 350f but after 20 minutes reads 450f. I measured the resistance of the temp probe, it was about 1600ohms after the pre heat cycle to 350f. I also have noticed a small hole 1/8" x 3/8" in the rear middle of the oven floor pan. it almost looks like it has been erroded? not sure if its a product of a short or if its supposed to be there. :confused: It almost seems the bottom element is not cycling properly? food seems to brown on top but not on the bottom.