Interpreting the pink drops (blood?)

[Sexbad]

Yeah, the pink is probably the amnesia potion dripping from your mouth or clothing or something. Its trail ends near the beginning of the game. The red things (which are far more interesting to me) are rose petals.

Occasionally, the game references Damascus Rose, and I think it's referring to the taste of the amnesia potion.

Spoiler below!

One prisoner who keeps being treated with amnesia says that he cannot remember who is torturing him or why he is being tortured, but the scars he has received as well as the familiarity of the potion's taste (Damascus Rose) help him remember that his situation is dire.

Also, rose petals appear on the ground where flashbacks take place as the familiarity of the locations overpower your amnesia.