Since I forgot to give my power level thoughts on these events, I doubt I would do so.
Lost Arts seems pretty strong. It can create Anything that gives +Action into a village. If you already have a smooth engine, it allows you to add further reliability by making a terminal into a non-terminal. Putting this on an Envoy or Smithy would be pretty awesome. On super strong engine boards, you might be able to skip this where the village support and trashing are really good. Also, this won't be much good in slogs.
Borrow: Now, this is a nice card. So, for the rest of the game, I essentially have a coin token available to me, but with the drawback of not being able to buy a card. I can really see this getting used a lot. It guarantees a $5 opening. On a 5/2 with Baker, we can live the dream an open a $7. Anyway, how often have we wanted to hit a certain price point but were a $1 short. Quit often. So, yah, I think this will be pretty good, but not super powerful.
Inheritance: Oh man. Already, this is my favorite card from the set. It's so beautiful. I love how it costs $7. Dominion is sorely lacking in cards at that price point. Anyway, even if strong trashing, you might still want to buy this if there are $4 or under costs really worth getting. Then, suddenly estates are now super estates. With cost reducers, estates can sometimes even become a $5 cost or higher!!! I'm not sure how powerful this card will actually be, but I know it will be a lot of fun, and finally we have a card that makes estates matter (except Silk Roads).