Nice fix.
Just to get back on your fuse thingy and the fact that the circuit 'is still protected while measuring with a multimeter'. It's not. Well not with the correct fuse anyway. There's a reason there's a 0,75 amp fuse there. There should never go anymore than that amount of amps in the circuit. With your fused multimeter, you might be getting an accurate measurement of just 'how much' extra juice goes into the circuit, but the fuse in that meter is probably a 10A. Theoretically, the short circuit could have been 10 amps then, and it could have made the damages even more.