Microwave not heating

Handle on Microwave recently broke off on SCA1000DBB03. Husband fixed and filed down the "latch" hoping to make it easier to open and close oven without so much pressure on the handle. Now microwave interior light won't go off and microwave doesn't work. We put extra pressure on latch and the light went off and microwave panel lights up and buttons work, but the microwave does not turn on when "start" is pressed. The numbers change as if microwave is heating, but it doesn't actually turn on. If we replace the latch and/or the entire door, will this cause microwave to work again? We did not have problem prior to handle breaking off.