As this mod adds some fish, would it be possible to add support for them through Just A Few Fish, and their respective fishing rods? It also does not pick up on your enchantments currently.

@Sunconure11 could you please explain which abilities this fishing rods have?
Unfortunately its code not opened so may be you know how this mod works - does its fishing rods use vanilla hooks or its own?

It appears to use its own, and its fishing poles require bait.

Maybe look into adding support for aquaculture and combustive fishing instead?