Did you try sword at 7 and dagger at 2? Sword I'm somewhat certain about, as 4th behind the lowest face implies four behind the Joker, which would be: 10, 9, 8, 7. Dagger I'm not so certain of. I figure to the east would imply traveling clockwise from the queen, and if we interpret the queen as being equal to 11 on the clock, that would imply going three numbers clockwise to 2."With the king ill, the queen presides over the court
Her orders: a sword for the man 4th behind the lowest face and a dagger for he now 3rd to her east"
Kindaichi mentioned how the numbers 1-12, king and queen tie in with playing cards, and that the sword and the dagger represent the clock hands.
Alternatively, sword could be 6 if we are meant to assume that Joker and 10 are equal.
Of course, I could be totally off, but that's my current conclusion.