As of Play Framework 2.1, ScalaQuery is deprecated, as it, along with Play Framework 2.0, only supports Scala 2.9.
Play Framework 2.1 supports Scala 2.10. The replacement for ScalaQuery is Slick, which also supports/requires Scala 2.10.
Slick web site: http://slick.typesafe.com/
It's a much cooler web site, so you should be happy.
So include that library in your web app and get rid of ScalaQuery, which should help you along on your migration effort.
And if you're curious, that class not found error is because scala.Right is now scala.util.Right :)