I know on my old Case IH, which was also a New Holland build, there was a fuse in a location that was obscure and hard to find.
The only way I found it was looking at a schematic online. It's a main fuse right around the starter, kills everything. It was also kind of hard to get to.
I highly doubt it is the battery it would probably give you something,, a click a flicker of light, if just a weak battery.
As already mentioned, I would try the connections, find a schematic for the all the fuses, and take the battery to a Napa and have them check it
Since you were using the PTO that sounds like a strong possibility that a switch is not making connection.