Thanks for playing. :) Yep, I always have in the back of my mind the speed-running aspects of a game. It's been quite fun competing with my cousins for best times since I submitted the game!
If it helps, you can either slowly carry the baby under the wave of spikes, or throw her to the top then go across the top yourself. There is no need to grab the second key on the Tuesday level.
Level design is tough -- I spent a lot of time trying to refine the puzzles to have an appropriate difficulty curve.