[19.4] Can I use AppleScript with Director?

Yes and no. Director provides only the skimpiest AppleScript support, and is neither scriptable nor recordable. It supports the required events, so it can be launched or quit or told to open a document, and it also supports the "do script" event, so it can be instructed to perform any Lingo script.

As far as I can tell, the only event Director can send to another application without external support is "open". I believe there is an Apple Events XObject available but I haven't actually seen it and don't have a reference.