Mexican passport, In transit from Los Angeles (LAX) to Phuket (HKT) and vice versa.

1.- As a Mexican citizen I would like to confirm if my passport allows me to land/depart the following airport as Visa-Free Transit: Xiamen-Gaoqi (XMN).
2.- Am I allowed to have two connections on the same flight route: from HKT land in Chengdú-Shuangliu (CTU) Chengdu and depart to LAX from Hangzhou-Xiaoshan (HGH) Zhejiang (Flighting between this two cities).
3.- Also Can I do (connections) Land in Shanghái-Pudong (PVG) the way into HKT then on the way back LAX depart from Nankín-Lukou (NKG).
Notes: Everything is by connecting flights, stayovers are less than 24 hrs, not intending to leave the airport. Thank you!