Alentia,
I do not see this reaction you wrote working.
Pd + 2 CuCl2 → 2 CuCl + PdCl2
Palladium is lower in the reactivity series than copper.
With that in mind I can see this reaction working:
PdCl2 + Cu --> CuCl2 + Pd
Although Palladium will go into solution of HCl, and so it is possible to have some PdCl2 mixed in solution with your CuCl2 solution, copper metal will replace palladium from solution, so as the CuCl2 solution reacts to dissolve more copper the palladium will cement out of solution before CuCl forms.
This brown powder you are speaking of Has it been rinsed in water? CuCl in concentrations can also be a brown powder, when rinsed with water it will change to a white powder, as some of the concentrated solution forms some CuCl2 in the rinse.
If I had PdCl2 I would not heat it or incinerate the powders unless I wished to make a hard to dissolve palladium oxide, (Read Hokes book to learn more about this), if you did have CuCl and palladium chloride in the powders a solution to recover the palladium is to rejuvenate the CuCl back into CuCl2 and cement palladium with copper.
If you did have palladium and you roasted it you would likely now have palladium oxide which would be hard to dissolve again, See Hokes book.