This might be my main problem here - I did a #2 where I "potted" the coil by adding hot glue while winding it, and it still doesn't pull strong enough on the string. The coil is spread over the entire height of the pickup, so I guess I should insert some blocking and wind #3 soon.
I'm pretty sure the resistance is accurate. Also, depends on how much you define as "a couple of" - I never counted, but I was most likely in the >100 range. Also, the DC resistance of a coil is less than its AC resistance, if you measure the resistance of a 8 Ohm loudspeaker with a multimeter it'll show something around 6 Ohms.
Thanks, I'll try to follow that. I should build myself a winding machine again, so I can add another coil to get a passive pickup as well.
I tried different things - the headphone output from my portable MD, the amp from my computer speakers and I even tried the output from my stereo amp.