Meaning of 「つりたくない者が、つるわけない」 and 「よけいな心配しないで、のびのびと育ってね」


I've come upon a couple of phrases in Doraemon I quite don't understand.

The first is said by Nobita's mother, trying to calm Nobita down after finding
him freaked out by his first encounter with Doraemon.

She says:

> よけいな心配しないで、のびのびと育ってね。

I don't quite get the て form at the end. Shouldn't it be 育った (`you were
raised`)? Also, I wonder if that is a quotation と?

The second is a bit further on, when Nobita is trying to convince himself that
there's nothing to worry about after Doraemon's prediction that he would be
hanged in 30 minutes time. He says:

> つりたくない者が、つるわけない。

Would it be something like `Even though I don't want to hang, there's no
reason to think I will.`?

* * *

Image of both pages:

  * [First sentence](https://i.stack.imgur.com/XU005.jpg)
  * [Second sentence](https://i.stack.imgur.com/Oaenn.jpg)




> よけいな心配しないで、のびのびと育ってね。

て form at the end of a sentence serves as a command form. The と is a case
particle, のびのび is a mimetic word and adverb. The と can be left off.

> つりたくない者が、つるわけない。

Anyone who doesn't want to hang himself, can't possibly hang himself.




> よけいな心配しないで、のびのびと育ってね。

て form at the end of a sentence serves as a command form. The と is a case
particle, のびのび is a mimetic word and adverb. The と can be left off.

> つりたくない者が、つるわけない。

Anyone who doesn't want to hang himself, can't possibly hang himself.

