This is likely a plugin incompatibility: the plugins are not communicating with each other, so Google/Apple Pay are not made aware of the other options. There are two solutions:

1. Request the plugin authors support the other's plugin.
2. Build your own plugin, either to facilitate communication between the two, or to have all the functionality you want.

I would be surprised if Google/Apple Pay even support date/time selection in their interfaces, so it may not be possible.