You have to account for the loses in DC-DC conversion so I'd normally expect the manufacturer to specify a higher input fuse than 60A for a 50A charger.
I'd suggest running it at 30A (in software/settings) for general use and only using 50A when fast charging is really critical, it's a lot kinder on everything if you don't need it charged RIGHT NOW.
As to changing the cable I think 16mm2 would be preferred, but if you plan on running at 30A charge most of the time arguably that's what your existing system has been doing and I assume no signs of any heating issues?
If you wanted to regularly charge at the full 50A I'd be much more inclined to run a 16mm2 while you have everything in bits anyway.