Providing these faucet repair things are fine there is the chance that the cord running to the disposal has developed a short or a wire has become disconnected. You will need to disassemble the unit to verify all wires remain securely fastened. The last conclusion is that the motor has burned out, in which case you will need to replace the disposal unit.
When you get to the house stand if front of the toilet and locate the water shut off valve. Should be down below the toilet on the wall. Just turn it off (righty-tighty) completely and flush the toilet. All the water should have left the tank, well at least most of it. If there is remaining water line repair get it out with paper towels or a rag. The important thing is that no more water came in. If it did then your valve is not shut all the way or not working and you need additional help.
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Once you have disconnected the tank remove it from your work space. Do a thorough measurement of the remaining pipe for reference when you go to the hardware store. I will be honest with you, you might need to make a few trips back to the store. Once you get the new tank, slide it into place to line up the plumbing.
Keep an eye on any leaks in and around the house. Inspect taps, pipes and your roof regularly. Watch for leaks and if you find them, get it water line repair as soon as possible.
The way a toilet plunger works is by filling up with water and then pushing that water through the stopped up drain. When unclogging a clogged toilet, the idea is to plunge up and down a couple of times so the plunger fills with water and then jam the open end, sometimes called a force cone, into the waste outlet in the plugged toilet and start plunging. You may have to pump the plunger up and down several times to clear the blockage.
Is your garbage disposal clogged, but it is turning ok? This may be due to a blockage in the pipe. If you look at the pipe work under your sink you will see that the disposal is connected to a pipe that should join to a U bend and providing it was installed correctly it should have a connector that can be undone. If you undo this connector the pipe will pull away and generally this is where most blockages occur. Remove the blockage and reconnect the pipe.