Any decent windscreen company should really have a set of the screen pillars (when replacing a MINI screen and work them into the total price / quote, IMO), as they are so brittle they can break even if you're careful especially the ones with the updated clips on them (changed as the early pillar trims kept blowing off), If the trim was already cracked you would have noticed it In My Opinion no matter what, however I have seen many cracked / slightly damaged where they screw in to the pillar, In my experience I would say the damage is down to the fitter, to be honest it looks quite a poor job, Sorry! but it does, even without seeing the MINI in person.
- The Cracked pillar trim.
- The scratched glass.
- The loose gutter trim end.
- The top screen trim & possible screen slip (see pic & description).

The trim at the top of the screen, these where known to blow out in the early days of the MINI, to me that doesn't look like it will last long at all (especially at speed), the genuine strips are fitted to the screen while out and then the screen fitted, the screen men normally carry a universal rubber strip which they cut to size as a replacement for the original, even so fitted properly it can be OK, either your's isn't fitted properly or he has put back the original one but once the original ones are forced out to remove the screen they often become distorted as the have a metal strip in them (they never go back right once bent) plus if you look at the 1st arrow on the left you can see the edge of the screen this shouldn't be like that, it looks like the screen may have slipped down (possibly causing the loose top screen trim), because the top screen trim actually seems to meet the gutter trim properly on that side, If your car was / is under warranty you would get it voided should you have any issues due to water ingress too the vehicle

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If it was through your insurance I would definitely let them know your not happy with the job and make sure if the people who did it in the 1st place are going to redo the job, make sure that they rectify it properly. if they start fixing everything back on with the black stuff they're not doing it properly clips trims etc... etc... (I personally wouldn't be happy with that scratch and agree with "thecoopertrooper" & the rest of the replys).