1. Bit assist not have any AI integration or AI chat bot feature.
2. Bit-Assist has tawk.to and other live chat platforms that can be embedded within Bit Assist as a channel. In those particular platform, auto responses feature are available. But It has to be configured within those platform, not through Bit Assist widget. Bit Assist only embeds the script and displays the widget in your site.

3.Bit Assist has Calendly as a channel, you can arrange meeting using this channel.
Here's the documentation for Calendly : https://bitassist.co/wp-docs/all-channels/calendly/
Also you can find all of the channels documentation here : https://bitassist.co/wp-docs/all-channels/