How do I place my script after jQuery?
The problem is that you're adding it to page bottom region, which is above the JS.

What exactly is $token, is it something personalized or is it a global license key/identifier for the whole site? If the second, then use a library alter hook to load it instead.

See https://cgit.drupalcode.org/jw_player/tree/jw_player.module#n129 for example, that dynamically alters the library definition to either load from a CDN with a dynamic url or a local path that can vary based on input from the libraries module.