I have a 2003 Mazda Protege 2

PARKING/EMERGENCY� BRAKE

1. On� models� with� rear� disc� brakes, � depress� brake� pedal� several� times.� On� models� with� rear� drum� brakes, � start� engine� and� depress� brake� pedal� several� times.� Stop� engine.
2. On� all� models� pull� parking� brake� lever� with� a� force� of� 22� lbs.� Stroke� should� be� 5 7� notches.� If� stroke� is� as� specified, � parking� brake� is� properly� adjusted.� If� stroke� is� not� as� specified, � raise� and� support� rear� of
vehicle.� Release� parking� brake� lever.
3. Turn� the� adjusting� nut� at� the� front� of� the� parking� cable, � on� the� side� of� the� parking� brake� lever.� After� adjustment, � turn� the� ignition� switch� to� ON, � pull� the� parking� brake� lever� one� notch, � and� verify� that� the� parking
brake� warning� light� illuminates.� Then� verify� that� the� rear� brakes� do� not� drag.

As far as pedal not feeling assolid, turn allen screw in until pads slightly touch rotor then back off 1/3 of turn or 30 degrees

Try re bleeding again and then drive the car and make several slow stops form 40 mph, the pads may have to seat especially ifyou used ceramic pads. Remember r/rear then l/rear, r/front l/front when bleeding. What order did you bleed the brakes in, there is a specific pattern that you should be using to do this. Usually by starting with the line the farthest from the master cylinder and working to the shortest. You may need to adjust the parking brake from inside the car as well