I submitted a bug report to Larian about various issues related to druids, and Larian support confirmed that Moonbeam should be moveable in wildshape and that should be fixed by full release.
But they said that inability to reapply Heat Metal was as per design (though they weren't sure about Chain Lightning) as it was being regarded as casting a spell. To me, that looks like an unwarranted departure from the 5e rules that state "Transforming doesn’t break your concentration on a spell you’ve already cast, however, or prevent you from taking actions that are part of a spell, such as call lightning, that you’ve already cast." and I've given that feedback directly to Larian.
If it's something you feel strongly about, too, then you might want to use the feedback form on the launcher or via Larian's support site to do the same!
