Goth Punk is a dark japanese fashion that is influenced by western Gothic and Punk styles. The style is mostly associated with fans of Visual Kei bands.
Lolita fashion has many of its own unique subcultures based on the style, and thus what qualifies as Lolita style can vary greatly. However, the clothing is mainly inspired by Victorian and Rococo fashion. Lolita as a fashion is heavily influenced and supported by a large community subculture.