The Softtub uses the jet pump to heat, so if the spa is not up to temp yet then you certainly should be able to turn on the jets. If the tub is too hot, you can't turn on the jets, but from you description that is not the case here.
Do they hum but not move any water? If that is the case then you have an airlock in the pump system and need to work it out.
But if there is no hum, no sound, and the light and indicators all work, you have a problem. No light or indicators may mean that you simply don't have power to the unit. Check the outlet by plugging in something else. Check the GFI on the end of the power cord.
HTH