Don't read too much into it. It is just as it sounds.
1) It doesn't mean anything more than that.
「それ以上の意味はないよ。」
mean で「意味する」
more than that で「それ以上」
2) Don't read too much into it. It is just as it sounds.
「深読みしないで。それ以上の意味はないから。」
「深読みする」は read too much into を使って言えます。
It is just as it sounds. で「言葉の通りだから」というニュアンスです。
ご参考になれば幸いです!