My guesses:
1 - Battery
2 - Regen enable
3 - 3 speed switch
4 - Programming
5 - PAS
6 - E-brake
7 - Throttle, Power ON/OFF combo
8 - Halls
9 - CA-DP
10 - Motor phase
edit: switched two.
logic:
battery and phase are easy. connector 8 is a common hall connector for cheap chinese stuff; bad lighting, but i'd guess 5 pins wired up, since i didn't see temp sensing on the controller features. the description mentions regen enabled by jumper, so that explains 2. the CA cable is a guess, but easy to check, since the wire color order matches the CA male end. PAS is usually a 3 wire connector, so 5. that leaves programming, on/off, and throttle for the 2 remaining 5 pin connectors.
to test, connect the battery. get a voltmeter and check for battery level voltage on the JSTs. that will be the one that has the on/off feature. the CA will have battery level, but only after the controller is turned on. once you turn on the controller, you can check which of the other connectors has 5V, and which 5 pin is for the CA.