Is the sentence okay?

Something like:
Pick your words carefully in a unstable and vulnerable situation.
or
Speak calmly in an unstable and vulnerable situation.

I think you can leave out the word "both" because you are using the word "and" which already includes both.
Wait and see what the English experts say.

Thank you.

Let's wait.

Here is some examples from English linguists:

1) He is a writer both witty and wise.
2) The hymnal we use is "Hymns Ancient and Modern"

A bit old-fashioned though.

Where does unstable and vulnerable fit into this sentence?

Are these two the same?

in circumstances both unstable and vulnerable = in unstable and vulnerable circumstances


a writer witty and wise = a witty and wise writer

It's against the rules to answer a question with a question

The sentence is fine, Ori. That use of 'both' is common.

I'm not 100% sure of the meaning/speaker's intent, but that would come if I were privy to a larger context.

Thank you JTT,