Yeah, for some reason I saw 60,000(!) requests on lambda all at the same time so I guess it had a bit of trouble scaling up. A scraper or Googlebot perhaps? Should be all fine now.
It probably could be, as long as I figure out how to get code splitting to work with it being a static site. Shouldn't be too hard. I imagine its just a case of pre-rendering all the routes and then uploading the whole thing to an S3 bucket.