Hi, no problem.
Ferrite beads are just very low value inductors for interference suppression, they can normally just be replaced with a wire link unless you're worried about EMC specs. You may even find that they still have continuity as they are low resistance to start with.
I don't know what those pins connect to, but I suspect maybe power supply?
The first thing to check is that the one on the right really is a FB. There are identical looking parts connected to the other pins, check that they are conductive, not capacitors. The one upper left isn't in much doubt due to its FBxxx part ident. Check that it still has continuity.
The next thing it to make any repair to the PCB. Scrap away the charring if possible as it might be conductive now. Repair the PCB track with a wire link as necessary.
The main problem is to find the cause of the short. Schematics will obviously help of the manufacturer can get them, it is encouraging that they are at least trying. Other than that it's a matter of pencil and paper and tracing out the connections from that pin across the board - you say that it's a ground pad, but thet FB must be leading somewhere. I think you can discount the FBs being faulty, not if the PCB burned too!
It may be as simple as a shorted decoupling capacitor somewhere on the board, or a fault in whatever is plugged in, an accidental short somewhere. Try repairing the damage, plug everything back together and probe to see if that pin is still shorted to

(gound, the other pins?). I think it's down to some detective work. It may be a really simple fault, or it may be more complex. Any information about what happened when it failed - did you see it happen? Was there a thunderstorm maybe? Clues will help.
Edit: Damn, I didn't notice the chip, and can't see well enough if it is burned, or just cleaning residue. I would maybe have expected something closer to the chip (or a leg) to burn first. Hard to say.