What does 再 mean if it's added after 后? I wanted to chat my friend with "Let's chat together when (after) you are home!".
First, I wrote this sentence :
"你回家后咱们一起聊聊吧～"
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But then when I tried to check my sentence with translation tools (Google Translate and Naver), they added "再" after "后" and thus changing my sentence into this :
"你回家后(再)咱们一起聊聊吧～"
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Okay, I don't know whether my own sentence is correct or not but... Is what the translation tools said is correct? Should I add 再? And if I should, what does 再 indicate here?
回家后咱们再一起聊聊吧

To me, there are 2 meanings.

 1. After you go to home, we continue this conversation.
 2. After you go to home, we do more conversation.