Congratulations. I think I found a small optimization that you could use: around the 1:15 mark, there is a red pipe. If you go in it, you'd save like 5 minutes and complete World 1 right there. *kappa emote*
real time attack, meaning it is timed with a real timer from start to finish. in this case, time starts when you enter 1-1 and ends when the score appears in 1-Castle, you must complete every level.