If you mean that the engine continues to sort of run after the ignition is switched off, this is called "dieseling." It's not a good thing, and there are several potential causes. You'd probably need to take it to a mechanic to have it diagnosed and repaired. (If you didn't already know this, it's probably not something you can diagnose and fix yourself.)
Sounds like the anti-lock brake system. best to have a professional look at it.
There can be a few reasons, mostly to do with the ignition. Possibly a plug is not firing, possibly one or two plug leads have been swapped inadvertently, possibly a valve is sticking.
You stop using alot of oil for your car or anything else you will always have to use a Little bit or you we won't have oil in a few million years or 2012.
As long as the oil pressure light does not come on it will do no damage. If the light comes on, even for a few seconds, stop immediately.
Buy a new car!
the problem could be you are puting in the wrong type of gas try puting in regular unleaded fuel.
We have had that problem a few times, when it happens it may kept on doing the clicking and then stop on its own, but for immediate results we just stop and turn off the car and wait a few seconds and then start the car again. That's usually stops the clicking. No real long term cure, but good for the short term.
Nothing except cause the pads/shoes to not stop the car very well for a few seconds until the water evaporates which happens very quickly.
Play only a few notes. Stop. Play another few notes. Stop. and so on.
Without some very unusual circumstances, it's going to be the car that read-ended the stopped car. There are very few good reasons for running in to the back of a stopped car.
Does the car insurance covers a relative-visitor who wants to borrow a car for a few days?
possible O2 sensor.