The service brake applies the piston hydraulically.
The park brake applies the piston mechanically using a screw-thread mechanism.
If the park brake mechanism isn't assembled correctly, the piston can be forced outward by the park brake mechanism even without the cable connected.
You're going to have to retract the piston, assemble the caliper correctly, verify that the rotor and bearings are still good, perhaps replace your damaged pads (NEVER apply grease to the pads!) and then re-adjust the park brake once the whole works is assembled.
On my '92 and '93 rear calipers, I used to retract the pistons by pulling the nut and washer off the rear of the caliper, removing the bracket, and then squeeze the piston back in--the screw would just spin in the caliper. I don't remember any particular problems getting the bracket to re-attach with the nut and washer. Maybe those calipers are different from what you have. I haven't looked at those calipers in years.