In the episode "What's Opera, Arnold?" they sing "She's awfully sweet, such tiny feet" but in this episode Tish says Helga has big feet. It's possible that in the dream sequence of "What's Opera, Arnold?" Helga imagined herself with small feet.
The minister calls him "Coach" instead of Jack.
Despite the wedding being a big event, Coach and Tish's son Tucker isn't featured in the episode without a reason being given.
Technically, official air hockey rules do not allow players to lift their mallets off of the "rink," which Tish and Coach do several times.