Audacity works on Mavericks if you install and run and run it correctly.
Please read these instructions carefully: Installation: Do NOT run Audacity from the DMG!!!! . Copy the whole Audacity folder (not just the Audacity application) from the DMG to /Applications.
Do not take the Audacity application out of its “Audacity” folder.
The Trash error may be because you still have the DMG mounted. Eject the DMG before trashing it.
Gale