[denisond3]

If the secondary resistance was supposed to be 11.85 kilo-ohms and you measured 13k - thats close enough its probably okay. The difference between seeing 80 ohms and 20 ohms is either a sign of some shorted windings, or a measuring problem. If you had another ohmeter that showed the same values I would be more likely to think it was 'the' problem. So far I havent helped - right? I dont know how to test a coil pack, other than to get one from ebay and do a swap.
If you alternator belt doesnt make a loud screeechh! when it is slipping, (most likely happening right after you start the car, then either that belt is oily, or really loose, or really worn. Even when the belt is loose enough to make the screech, the 'alt' light usually wont come on.
When I adjust the alternator belt, the way I test it is to turn on the headlights for 5 minutes, and leave then on when I start the car, and rev the engine to at least 2000 rpm. That will put as much 'demand' on the alternator as it is ever going to see.

The alt. belt can get oily from the power steering fluid leaking onto the belt from above it. And when adding p.s. fluid, its all too easy to drip some fluid onto that belt.