Everybody in a session is at the same moment of your video, because playback follows the session clock. Nobody skips to the price; everybody arrives to the same room.

The player starts at wherever the session has got to.
Chat lands on its cue points and the headcount builds and thins.
An end card with your offer, a link, or the next session.

Every session has a start time, and the player works out where your recording should be from that clock — not from when a particular person pressed play. Somebody arriving six minutes late joins at minute six, and everybody in the session is at the same moment of your talk.
A recording that can be skipped gets skipped to the price. The room has no fast-forward handle and no way to drag ahead, so the story you tell is told in the order you tell it, and the offer arrives after the reasons for it.
On a wide screen the chat can sit in a column beside the video, or float over it and be closed so the recording has the whole window. On a phone it is a sheet under the video that never covers it. Before the start there is a waiting screen with optional pre-roll video and music; after the end, an end card with your next step.
You decide how to describe it. Cued plays your recording on a synced clock; most people call it a session that starts every few minutes.
Yes. On a phone the chat sits in a sheet under the video, and focus mode keeps both on screen.
You set how late a newcomer can join. Past that, the room offers them the next session instead of the last few minutes.
No. Attendees join in the browser from the link in their email, on a laptop or a phone.
Fourteen days with everything switched on, no card.