Ok, so went through that second puzzle again; I'm still missing two sheep. So I'm just gonna detail everything I do in order.
First, I turn the TV on and go to the third channel. I sit in the chair. I then move the chair to the middle painting, fix it, then complete the painting. Before I go in, I move the chair to third painting to fix it and get the coin. I then move the chair back to the middle. Inside, I turn on the water and then grab the stick before returning to the room. I get the floaty out from under the table then change the TV to the game. I go into the game. I collect all of the coins in game, then release the mushroom and jump on it. I talk to the plumber. Now I return to the painting and get the coin in the bush since, for some reason, I couldn't get it before. I get the plumbing fixed. I make the jump to the other side to get the clock turner. I head back into the painting and use the clock turner, then make it night time. I go back to the room, move the chair to the first painting and fix it. I go back into the painting and make it morning. I go back out and use the fan to blow the clouds into the painting. Before I go into the painting, I go to the back of the console and unplug all three and exit the screen. I then go back into that screen, which triggers one sheep (not sure why I need to go out and back in but whatevs). I then go into the painting and use the tub.
This leaves me with two missing sheep.
Also, if the 3 coins aren't needed for beating the game then there's something missing, as I needed to get two coins in order to pay the plumber.