I think your springs are bent out of their proper orientation. You may have to re-bend the coil - my guess would be maybe pull it "looser"? At rest, the loop should be almost 180 degrees opposite the end which pokes through the hole of the mounting post on the frame. You might try switching the brake springs onto different posts. But, in any case, you want to get a match the spring in this quick photo I just shot.

This is a LEFT REAR brake, viewed looking forward from the rear of the bike. It shows the unique (okay, "odd") spring correctly mounted. When you rotate the brake caliper back down, just gently press the bottom of the big spring loop forward and the spring should easily drop right back in place over the nut of the brake pad stud.

These springs can indeed be rather confusing when mounting these brakes. ... But, they are REALLY a very simple and useful design - great for easy consumer adjustment or replacement of the brake pads... uh... that is, when they are placed on the bike correctly first.

Good Luck!