Did you bleed the brakes when you replaced the shoes? (BTW, drum brakes have "shoes," disc brakes have "pads.") You may have gotten a bit of sediment trapped under the seat of the bleeder screw so it's not tightening down completely. Try, in order
1. Tighten bleeder screw
2. Remove bleeder screw, clean screw and seat in wheel cylinder, replace and re-bleed brakes
2. Buy a new wheel cylinder and just replace the whole enchilada.
[EDIT]Wait -- when you wrote "adjuster hole" I envisioned the bleeder screw. If you mean the slot through which you access the star wheel, then if fluid is dripping from there it means your wheel cylinder is shot and when the thicker new shoes pushed the piston back into the cylinder it's trying to seal on a pitted surface.
This is why it is recommended to always replace the wheel cylinders when replacing brake shoes.