Currently I'm encoding with EAC which puts APE1 tags on my ape files. Do I need to bother trying to find a way to get ape2 tags on those things? Why was ape2 made? Does ape1 have attribute length problems like ID3v1? Hmm... okay, that's all I can think of now.

You are probably better off putting apev2 tags on it since that will be more standard than apev1 - you can do that in EAC using Case's wapet program
http://www.ca5e.tk/

You can also use a multitude of other post processing programs to add apev2 tags
apev2 was made as a natural evolution of apev1, to exceed the limits of apev1, the same way ID3v2 surpasses IDv1 in capability

I don't recall apev1 having any limit within reason (maybe 256 characters?)

I'm curious how EAC is putting apev1 tags on your files since it doesn't handle them natively?

See the differences here