Does the Waymoot get 4 VPs if it shows up on the 1st round?
No, Waymoot would only get 1 VP Tokens placed on it, since it isn't in play.
The Builder's Hall (page 12) of the rules tells you to take the 3 VP Tokens for the round, and distribute one to each building tile for purchase. The Waymoot has special rules text that takes effect at the When Purchased/Start of Round, but this only occurs if it is &quot;in play.&quot;

When Purchased and at Start of Round: Place 3 VP tokens on this space.

Once on page 8 under Start of Round

Start of Round - The rounds track on the game board starts out with 3 VP tokens [...] remove the 3 VP tokens from that round’s space and place 1 VP token on each face-up Building in Builder’s Hall.
When Purchased/Start of Round: Some Building tiles have special instructions to be followed when the Building is purchased and at the start of each round. If any of those Buildings are in play, follow the start-of-round instructions for each.(See Appendix 1: Buildings on page 12 for descriptions of these effects.)
Once all start-of-round effects are complete, players take turns in order.

On the same page under Assign Agent, they define what it means for a building to be in play.

Assign Agent
If you have any Agents in your pool, you assign 1 of them. To assign an Agent, place it on any unoccupied action space of a Building, whether a basic Building or one that has been put into play. You cannot place an Agent on an action space that contains another Agent (yours or another player’s) or on Buildings that are not yet in play.