The main issues might be how the studio strobes are set up with the transceivers you say you are using. The studio strobes also have an optical slave mode, so they should be out of that if you are using the radio triggers. And you probably also need to check that the transceivers are set on the same group as the on-camera transmitter, that all the batteries are good, and that the cables you are using to connect them to the Hensel strobes are good and have the correct connectors. I think you might need a 6.3mm to PC cable for each strobe.

The other possible issue is that you may not be waiting for the strobes to recycle completely between bursts. For example, a Hensel Integra 250 Plus takes 1.3s to recycle between full-power bursts (0.3s between minimum power bursts).

The on-camera 580EX, mounted on the passthrough shoe of the on-camera YN-622 can be in either TTL or M. On an RF-603/RF-603II/RF-605 transceiver, however it cannot be in TTL or HSS or anything other than M and all settings must be changed on the 580eX itself, as the hotshoe on the 60x transceivers is not full TTL passthrough, and can only communicate the sync (fire) and wakeup signals. The 580EX should be set as an on-camera flash, not a wireless slave in Canon's optical system.