If I remembered correctly, the one of the two TIPS that you get after tsukiotoshi is just "devil's scenario", which was the same to the TIPS you get after the ending of Tsumihoroboshi-hen of the PC game. Check the TIPS thread on this board for that. As to the other TIPS:
As for entering tsumihoroboshi-hen, I'm pretty sure you can enter it after Tsukiotoshi-hen, since that's what I did. Of course, I read all the other chapters before that, so that could be a factor. If I recall correctly, one of the choices you need to make is to mention about Rena's mother. As for if Himatsubushi-hen is needed or not, I am not sure, since I did read it before even entering Meakashi-hen. Plot-wise I don't think Himatsubushi-hen is needed until you reach Minagoroshi-hen, but I could be wrong.