It's near impossible to discover what you are actually doing without pictures or a very clear description.
No idea of the magnet size, type or pole placement and no idea of how they are mounted or of the geometry between the magnets and the coil.
At best you are not going to see many volts from this set up and I still suspect it is so low that you can't measure it on ac.
Checking the coil resistance with a multimeter will not tell you if the coil is shorted but even if a few turns are shorted it will not prevent you getting something.
Digital multimeters have a high input impedance ( 10 meg commonly) and will read stray voltages if left floating and if you have some stray fields around you may be reading something not even related to the coil. Probably the times you get nothing are when you have a decent connection to the coil.
"I reconnected circuit using two magnets,opposite poles, got a couple of volts on drill slow speed. replaced with 4 magnets, meter immediatly started to climb, loaded slowly and steadily to over 45v on slow speed till my arms got tired (3-5 minutes)"
Even a couple of volts with the drill on low speed seems optimistic for that set up but may be true.
When you changed to 4 pole was the geometry so bad that you cancelled most of the volts?
"meter immediatly started to climb, loaded slowly and steadily to over 45v on slow speed till my arms got tired ("
What on earth does that mean? I assume the drill got to speed immediately and didn't creep up to speed over 3 minutes. The volts you got should be instant and should be directly related to drill speed.
No way will that have got even remotely near 45v and if it did you would have fried the resistor so whatever you measured at 45v was not real volts across either the coil or the resistor.
There is no saturation going on with the coils so forget that. You will make things worse if you stick the magnets on wood rather than steel.
If you stick to the analogue meter it will have a lower impedance and I think you will be far less inclined to confuse yourself reading something that doesn't exist.
I appreciate that without experience strange things can seem to happen but just go at it systematically and find out what you are really measuring.
Flux