Do wounds carry over between chapters (Mice and Mystics)?
No, they do not.  The campaign rules specifically state which items carry over between chapters, and wounds are not listed.  While they also specifically list a few things that are not carried over, if they had intended for wounds to be carried over they clearly would've called this out.  However, they do say that the guidelines are &quot;suggestions&quot;, so you can feel free to carry over wounds if you think it would improve your experience.

The following guidelines are suggested for playing mice and mystics as
a campaign:

Mice keep their story achievements and abilities earned from previous chapters.
Mice can keep only 1 search card that they had at the end of the previous chapters. This 1 card is in addition to their starting
equipment cards. Mice will always begin a new chapter with their
starting equipment cards.
Mice do not keep any party items, individual achievements, or cheese from previous chapters.