Speak to the cat and Fiona (A).
Take the DAGGER (B).
Use the DAGGER on the rock 3x (C); select the runes to get a RUNE INSCRIPTION.
Examine the rock to trigger a puzzle (D).
Swap the runes to arrange them per the RUNE INSCRIPTION.
See screenshot for solution (E).
Speak to the cat (F).
Take the SCARF (G).
Use the SCARF in the water; receive a WET SCARF (H).
Use the WET SCARF 3x on the sarcophagus to trigger a HOP (I).