"Could not find the DSP polyphase resampling coefficients", huh... I think the solution to that is to copy the file GC/dsp_coef.bin from the old Dolphin folder to the new Dolphin folder, but I've never seen this error before so I'm not entirely sure.
And regardless, I would suggest that you copy not just your savestates, but also your in-game saves (in the GC and Wii folders).
And regardless, I would suggest that you copy not just your savestates, but also your in-game saves (in the GC and Wii folders).