1)4♥ but no guarantees 2) You should probably bid 4♥ instead of 3NT. It is very hard for me to believe partner is 34xy and didn't bid 1NT over 1♠ 3)If you are using Meckwell transfers here bid 2♦, a less than constructive ♥ raise. Otherwise just bid 2♥ to let partner you have some support.