I may be missing the healing rules or they simply are not part of the Quickstart, which confuses me if the latter is the case.
The adventure presented is rather combat heavy. It doesn't feel as much like Star Trek. I guess it would be a good introduction for people who play more combat heavy games but after seeing adventures that are true to Star Trek (e.g. The Living Campaign) I would not recommend the adventure that comes with the Quickstart.
Please understand that this is a review purely of the Quickstart and not the full product.