My method to beat the S1 rank up is to counter with Yukiho, Makoto or Haruka. I use a memory appeal, 1 or 2 normal appeals, then i wait a bit before bursting. If i get the chance and i don't have to counter, i also burst with Miki, Hibiki or Chihaya, or with just them when it's at the end of the song. Depending on how the first song went and how much voltage the opponent and i have at the start of the second song i just use the second song to make the opponent waste some memory appeals, and i try to finish the second song with a full voltage gauge, so i can burst immediately at the beginning of the thrid.
Beating Leon with 4 memory appeals is kinda strange. Usually i wait before using memory appeals until the opponent has some voltage, so i can destroy theirs. But if you do that with Leon and 4 memory appeals she will use hers to make sure she can burst first. If you use 3 memory appeals right from the start, she won't use any memory appeals until your voltage is full. Then you can make an ultimate burst. After that i just do my appeals, she will burst. Usually it then ends up in a way that you can counter her second burst and then you have basically won, especially if you can make another burst at the end of the song.
I have played through about half the routes now, and once i figured these methods out i never had much trouble beating those 2 events.