1N was routine 15-17, perhaps a poor 18, perhaps a very suitable 14.
2♥ was a transfer to Spades, which can be superaccepted
2N was natural, non-forcing and invitational
3♠ declines the game try and shows preference for 3♠ over 2N
4♠ is therefore ill-disciplined, but justification is claimed on the grounds that the hand improves in the knowledge of the fit.
I was the ill-disciplined North, and we landed in a great spot. Sure, if things work out badly there is room to go down, but the odds certainly justify bidding it, and nothing bad happened. Still I felt uneasy about the route taken.
So, in addition to the poll questions:
1) should North force to game?
2) should South accept a game try?
3) would you take a different turn at Matchpoints? (I think it is a good game to be in even at MP, but I can see how I might be more tempted to pass 3♠ then)

Help

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ing) tr. v. - Any bid made by bridge player with which partner disagrees.
N...E...S...W
P...1♥..1N..P
2♥..P...2♠..P
2N..P...3♠..P
4♠..P...P...P