Yeah, new arrivals wake up in this world twice a month. [and your Minccino is adorable.] Mini is a very adorable name for [HER?? She doesn't want to assume...] your starter.

Some of them want to battle, a lot. Then there's some, who rather don't do it at all. It depends on the pokemon, really, but yes, it really is okay to let them fight. Oh, but you don't have to if you don't want to.