There's an o-ring between the caliper halves, that should be replaced .
With the caliper assembled, I don't think you can get the pistons out of the caliper.
If the pistons are seized in the caliper, disassemble the calipers and use air pressure to remove the pistons .
Use caution when doing this, as the pistons can come out with a lot of force, make sure you have something to stop the piston and contain the fluid that is still present in the caliper, otherwise you will have a real mess to clean up .