I'm not but an expert but...
I have had the same front pin problem on my P-01 when I installed a sight and last night when I put in a 10X barrel bushing. I've read that drilling through the hole with a #47 drill bit will fix the problem. I had a drill bit and started doing that last night but apparently there was a fragment from an old pin still in the hole and I toasted the bit. I'm going to a hardware store tomorrow to get a couple more bits and will be redoing that this weekend. If you choose to just leave it the way it is your're good to go- that pin isn't going anywhere by itself. It's weird I had this problem twice with the P-01 but didn't have a problem either time with my 75B SA. Same pin, same hole, same bushing, essentially the same sight.
On the rear sight is the screw too short so that it's being screwed completely through the sight and is just spinning but being held in place by the dovetail and the bottom of the sight? If that's what's happening you could either put a shim a metal between the dovetail base and the bottom of the sight or get a longer set screw. I'm pretty sure the set screw is M3x0.5x4 so you could try a M3x0.5x5 screw.
Once you get to shoot with the new sights please report back on POI vs POA. I've read a mixed bag of results.
Oh, and welcome to The Original CZ forum!