Karoline handford

Hi. So I’m after some expert advice on my roof. The roofer seems to think that the work they’ve done is ok. As I’m not a roofer obviously I’m arguing it with him however I would like to be able to tell him the exact reasons for the work not being done correctly. The tiles don’t go into the guttering at all let alone by 40/50mm. They’ve told me that because drip trays are fitted then the tiles don’t have to go into the guttering. mice attached photos so if someone could take a look and highlight the issues in roofer terms that would be very much appreciated. Cheers