diff --git a/libs/ardour/ardour/session.h b/libs/ardour/ardour/session.h
index 5612ff3c0d..d4bd0ac566 100644
--- a/libs/ardour/ardour/session.h
+++ b/libs/ardour/ardour/session.h
@@ -261,6 +261,7 @@ public:
 	bool cannot_save () const                      { return _state_of_the_state & CannotSave; }
 	bool in_cleanup () const                       { return _state_of_the_state & InCleanup; }
 	bool inital_connect_or_deletion_in_progress () const { return _state_of_the_state & (InitialConnecting | Deletion); }
+	bool have_external_connections_for_current_backend (bool tracks_only = true) const;
 	bool unnamed() const;
 
 	void end_unnamed_status () const;
diff --git a/libs/ardour/disk_reader.cc b/libs/ardour/disk_reader.cc
index 55374b5175..d812648759 100644
--- a/libs/ardour/disk_reader.cc
+++ b/libs/ardour/disk_reader.cc
@@ -1375,7 +1375,7 @@ DiskReader::playlist_ranges_moved (list<Temporal::RangeMove> const& movements, b
 		return;
 	}
 
-	/* move panner automation */
+	/* move panner automation (route owned control) */
 	std::shared_ptr<Pannable>     pannable = _track.pannable ();
 	Evoral::ControlSet::Controls& c (pannable->controls ());
 
@@ -1395,6 +1395,18 @@ DiskReader::playlist_ranges_moved (list<Temporal::RangeMove> const& movements, b
 			    *alist.get (), &before, &alist->get_state ()));
 		}
 	}
+
+	/* move mute automation (route owned control) */
+	std::shared_ptr<AutomationList> alist = _track.mute_control ()->alist ();
+	if (alist->size ()) {
+		XMLNode&   before       = alist->get_state ();
+		bool const things_moved = alist->move_ranges (movements);
+		if (things_moved) {
+			_session.add_command (new MementoCommand<AutomationList> (
+						*alist.get (), &before, &alist->get_state ()));
+		}
+	}
+
 	/* move processor automation */
 	_track.foreach_processor (boost::bind (&DiskReader::move_processor_automation, this, _1, movements));
 }
diff --git a/libs/ardour/luabindings.cc b/libs/ardour/luabindings.cc
index 57605d6576..f10e97de01 100644
--- a/libs/ardour/luabindings.cc
+++ b/libs/ardour/luabindings.cc
@@ -3442,6 +3442,9 @@ LuaBindings::session (lua_State* L)
 		.addFunction ("unknown_processors", &Session::unknown_processors)
 		.addFunction ("export_track_state", &Session::export_track_state)
 		.addFunction ("selection", &Session::selection)
+		.addFunction ("have_external_connections_for_current_backend", &Session::have_external_connections_for_current_backend)
+		.addFunction ("unnamed", &Session::unnamed)
+		.addFunction ("writable", &Session::writable)
 
 		.addFunction<RouteList (Session::*)(uint32_t, PresentationInfo::order_t, const std::string&, const std::string&, PlaylistDisposition)> ("new_route_from_template", &Session::new_route_from_template)
 		// TODO  session_add_audio_track  session_add_midi_track  session_add_mixed_track
diff --git a/libs/ardour/session.cc b/libs/ardour/session.cc
index 71d6b9e8fa..d4ce806828 100644
--- a/libs/ardour/session.cc
+++ b/libs/ardour/session.cc
@@ -8413,6 +8413,31 @@ Session::foreach_route (void (Route::*method)())
 	}
 }
 
+bool
+Session::have_external_connections_for_current_backend (bool tracks_only) const
+{
+	std::shared_ptr<RouteList const> rl = routes.reader();
+	for (auto const& r : *rl) {
+		if (tracks_only && !std::dynamic_pointer_cast<Track> (r)) {
+			continue;
+		}
+		if (r->is_singleton ()) {
+			continue;
+		}
+		for (auto const& p : *r->input()->ports()) {
+			if (p->has_ext_connection ()) {
+				return true;
+			}
+		}
+		for (auto const& p : *r->output()->ports()) {
+			if (p->has_ext_connection ()) {
+				return true;
+			}
+		}
+	}
+	return false;
+}
+
 void
 Session::enable_virtual_soundcheck ()
 {