Smokey!

[burn_your_money]

If the oil light and buzzer come on your should immediately turn the car off and coast to the side of the road (if it is safe to do so)

You are basically looking for cracks or opening that would allow air to be drawn into the engine. Since you have vacuum though I don't think that is your problem.

What year is your engine?

[ffgb]

My engine is a stock 1984 1.6N/A and I don't know if my vacuum pump is a rotary or diaphragm.  How can you tell?
Further, there are no oil leaks anywhere else on the motor, and there are no oil drip marks on my driveway whatsoever.
Other than rings, maybe bad headgasket allowing oil to enter combustion chamber?  I don't see how?
Thanks

[Rabbit on Roids]

is it small, round, and cast iron with the hose coming off the top?
or is it large, weird shape, and aluminum with the hose on the side pointing up?

[ffgb]

It is small, round, and cast with a hose on the top in the middle, with a yellow plastic tee with 3 nipples, then a bigger hose on the top of the tee connected to the brake booster.
Is this a rotary or diaphragm?