Hello Jonathan,
Looking at my archived notes, I can tell that the original OEM ICU (for bikes with the kick starter) is BOSCH 0 227 100 113. Â It cuts a little bit later than the stock one in order to let you jump on the kick starter to start the bike. I wonder if yours is the correct one with a different heath sink ?
Your original coil looks strange to me. The coil itself is OK but the fixture  is quite strange to me.
Alas I can't take a picture of my ld one as I destroyed it to re-use the support for a Fiat Tipo ignition coil (0.8 Ohm primary, dual output) I got for a song at a car wreck place.
As per the primary resistance at 3.2 Ohm, I would not bother too much : Corrosion may add up a little at the screwed tongs, and measuring very low resistance is a bit tricky because the resistance of the measuring wire add a significant error to the measure and you ohmmeter needs a good battery and one giving the necessary current to the measured resistance. So a difficult job for a very cheap Chinese meter... 50 % error is not uncommon.
As per the ICU, I bet you fried the one on the bike. At this point, IMHO you have a couple of way to go :
1) buy the latest ICU from BMW (around 150 Euro ) which should fire properly all coils past and present
2) find a correct second hand one. Buy from a reputable source as it is difficult to see from outside if the unit is toast or not. (
http://motorworks.co.uk/vlive/Home/index.php comes to mind, but there are a lot of others)
3) try to go at car wreck places with your ICU in the pocket and try to find one. This is the last resort option IMHO because where you live, they seldom saw cars using them...
Hope this helps.