Well, for a start, that silver powerbar in the top right photo still has the 'data' cable plugged in!! The other end of that cable plugs into the Profilux (if it says PAB on the powerbar then it plugs into the PAB socket). It looks like the 12v power supply may also still be plugged in to the Profilux. If so, that is all you need to connect the basic system and start playing with the programming.
I think (but am not sure) that the black powerbars are non-PAB. If that is the case then one will plug into the S1S4 socket and the other will plug into the S5S8 socket; if the powerbar has a part number on it then a google search might confirm that.
I can see some float switches that plug into the 'level' ports (assuming they are GHL genuine float switches).
The probes in the top left are the sensors. If there is a PH probe there, that is dry, then it will probably need replacing.
If you are trying to plug everything back into the exact sockets where they were then I think you will have trouble. I, personally, would reset everything and start again so that it is programmed how you want it (and so that you know how to troubleshoot/change anything in the future). Start simple and work up.
The manual for the Profilux Touch (the display on top of the Profilux 3 in your picture) is here, although you don't need that initially:
www.aquariumcomputer.com