First I want to pronounce that I'm quite satisfied with the quality of my Pedersoli Trade Musket kit at all. But there have been two issues that I had to fix to have it as I wanted it to be.
First (known before ordering the kit) is the serpant/dragon side plate that is in no way period correct.
I reshaped it with a jewelery saw and a needle file and inletted it. And in my eyes this simple modification does a lot for the gun's appearence.
The second issue I didn't expect. The ramrod pipes have been fixed in the factory without any care. The fix was a bit more tricky. I had to shift them a bit (about 1/8"), then inletted them. The old holes could no longer be used so I had to redrill them and to close the old ones. I feared this could be visible after finishing the stock but it didn't. If you know what are you searching for you will spot them, but I think they are now well hidden.