I just want to know what's happening in this picture (is this some kind of strip mahjong?), and what was said in 4chan when this was posted.

Translated. They are in fact playing strip mahjong. The bonuses in Ayas hand are:

1. Ri-pin (short for ri-chi + pinfu). Declaring ri-chi and having only sequences in the hand. Worth 2 yaku.
2. Tsumo. Drawing the last tile on your own. Worth 1 yaku.
3. Dora 2. Having two special dora tiles in the hand. Worth 2 yaku.

You're on a roll Aya, get the camera ready!