The first is essentially a punt:
Scoring: IMP
You know partner is 15-16, precisely 3433 with ♥AK and ♣A but not ♦K.
The second:
Scoring: IMP
RHO opens a 12-14 1N, 2♣ would show ♥ and another, 3♣ would be weak.
The third and 4th were 2 possible slams that nobody got near at either table, opponents were chasing IMPS, so thought they might have at least looked:
Scoring: IMP
Opening leader would have no clubs and the A♠ in 6♣, so it would roll in comfort. I hadn't realised the N hand was only a 13 count, he opened it a 15-17 1N at the table.
Scoring: IMP
here 6♦ by E seems to require trumps 2-1 and (spades 4-3/KQ double or the heart finesse) with some possibilities when trumps are 3-0.
Partner and I play that 1♦-2♠ is GF with 5+♠ and 4+♦ or the traditional one suited rock crusher, so we'd get close to this one, slam can't be worse than a finesse really.
1♦-2♠
3♣(nat non minimum)-3♦ (5♠/4♦ minimum)
3♥-3♠
4♥(RKCB)-5♦(2 with)
Now partner is known to hold spades at least AJ9xx (minimum suit quality for the 2♠), diamonds at least AQxx and another possibly useless honour. Slam is looking pretty good at this point given that partner won't have a 5044.

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