I recently removed and reinstalled pulseaudio and now I can't get my sound applet back on my panel.
Any ideas how to get it back?
Try installing/reinstalling the package indicator-sound:
Also, make sure that PulseAudio Sound System is ticked in System -> Preferences -> Startup Applications.
This is bundled into the Indicator Applet. Restore it as follows:
The applet appears on the bar.