1. If the player the bids are 1, 3, 4, is the next required bid a 5 or 9? The rule book says it must be greater than all the prior bids so I assume 9.
Here is a single sentence quoted from the rules:
When bidding, you must bid higher than all prior bids in that particular auction.
I can sort of see how parsing that could cover your interpretation of "9" but that would be quite uncommon and should only be expected if it was spelled out more carefully as such. Nothing in the quote, nor in the side example goes that far.