1. No-one said that this is a topological puzzle, so:
Run all three supplies into the first house, take off branches to stop-****, gasmeter and fuse-box, then continue the run into the second and third houses where you do the same thing.
No crossings required anywhere.
2. The smaller circle touches the larger one. So having completed the large circle you turn the pencil inwards to draw the smaller circle, touching at that point.
3. The best I can do so far is: cut the bar into pieces weighing 1,3,9,12,15 pounds respectively.