Laurie,

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Fireflys are normal with this type of render engine. Most often it's how light is traced, With very intensive light the render engine concentrate on certain parts sending not enough rays to this parts where your fireflys are. Another render strategy may help - try "path" insteed of "bidirectional" for example.

 This is what I've found in the Lux faq:

path tracing is only usually better for exterior skylight rendered scenes.
bidir is better for any type of interior scene.

If you do renders with "sunsky", use the GUI, tab "Render Settings", and change the "Integrator" from Bidirectional to Path.

If you don't use the GUI, open file AIR/LuxPose/data/dataOut.bbml and change "bidirectional" to "path" manually.

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