1) I think this problem is interesting, and I am a 5♥ bidder. Maggie I think you have this backwards, we should be more inclined to bid 6♠ over 6♦, since this is partner's weakest bid which he will make with all kinds of nondescript hands. It is only when partner makes a strong move over 5♥ that I am comfortable playing this in diamonds. I am surprised that there are so many 6♠ bidders, what do we lose by bidding slowly? I think this deserves to catch partner with a singleton spade that he would have told us about over 5♥. 2) Abstain, there was no reason to play the ♥K at T1. 3) Obvious run, two very bad things can happen by forcing xx. In general I am critical of runout structures that don't allow playing 1NTx. Edit: Just saw the hands, on hand 1, north had a 4♦ opener.