Why is 跟 in 陈叶可以直接拿跟胡灵阳的钥匙?
陈叶可以直接拿跟胡灵阳的钥匙


The 跟 doesn't look quite right in the sentence.  It implies that 陈叶 and 胡灵阳 share the keys. That's not what you intended to mean according to your English sentence.  On the other hand, it's not a good sentence.  

So, it should be removed: 


  陈叶可以直接拿胡灵阳的钥匙