Explanation of the Mahjong hand, assuming Femme Fatale is the dealer.:
Menpin: Riichi + Pinfu
Riichi: If you're one tile away from a winning hand, you can call Riichi, which locks you into discarding the tile you draw until you get a winner. Worth 1 han.
Pinfu: Kinda harder to explain, it's if a hand wouldn't get any bonus points (fu) from certain factors. Usually you get there by having all sequences (e.g. 123, 567), like this hand. Worth 1 han.
Honitsu: All one "suit" of tile, plus at least one honor tile (dragons, winds). Worth 3 han.
Ryanpeikou: Two sets of two identical sequences, in this case 123/123, 567/567 pin. The second 1 was the tile discarded by Sumire. Worth 3 han.
This hand is worth 8 han 30 fu. Fu is your base points, han is an exponential multiplier (the formula is fu*2^(2+han)), but scoring gets softcapped above 5 han to prevent insane blowouts (without it, Sumire would have to pay Femme Fatale 6x the hand's value, 184320 points), so an 8-10 han hand is "only" worth 4000 points, which Sumire has to pay 6x of since she discarded the winning tile.