Well, guess what I found out:
I booked the flight in B (since it wasn't that much more expensive than H), since I needed to fly on that day anyway.
Found out how to use the evoucher, but no result. Tried for a couple of days, still no result. Find out that you need available seats in D to upgrade to. 4 seats (or more) available according to Expertflyer. Good - untill I find out that SQ has blocked upgrading with partner miles (and appearantly LH evouchers) on flights with their new business class..
So if I wanted business, I probably would have been better of booking LH, and upgrading on them - However, the SQ77W was the reason that I'm even flying MAN-MUC, so..