Are those yellow marks on the tyres supposed to be showing where the 1mm is as well...as I'm having trouble making sense of the pictures.
If so, I think the dealer is pulling your pants down, as the MOT only checks the centre 3/4 of the tread - the shoulders are not part of the 'central' tread for these purposes...and can be bald for all intents and purposes.

I'd check the depth in each of the circumferential grooves to see what the real figure is.
The little cuts could just be where you've pinched the tyre a little on a kerb. As long as the cut isn't deep, then I'd not worry too much.
I'm only saying this as BMW Chiswick tried a similar scam on me - claiming I needed 2 new rear tyres at £320 each - and when I double-checked, there was 4mm all over
If so, I think the dealer is pulling your pants down, as the MOT only checks the centre 3/4 of the tread - the shoulders are not part of the 'central' tread for these purposes...and can be bald for all intents and purposes.

I'd check the depth in each of the circumferential grooves to see what the real figure is.
The little cuts could just be where you've pinched the tyre a little on a kerb. As long as the cut isn't deep, then I'd not worry too much.
I'm only saying this as BMW Chiswick tried a similar scam on me - claiming I needed 2 new rear tyres at £320 each - and when I double-checked, there was 4mm all over
