Is 帰る correct in this sentence?

ハンダは魔女たちの言葉を覚えて、川べりへ帰りました。

Is 帰る correct in this sentence? ハンダ is a name of my character.

Can I say 川べりへ using へ?

I wanted to write: Handa remembered witches spell and then go back to the river shore.