Okay, there is definataly a correctd order. If you inflate the princess before the pregnancy wave event, you can't talk to the goddess properly. you have to do the wave, then the princess for it to work. You may even have to talk to the queen after the wave, before inflating the princess.
Same, no idea how to procede there. I'm planning on creating a thread in a couple of days after handling some irl stuff where I make a game guide of everything that I know, and see if some people won't help me polish it and fill it in.