I solved my problem debugging a little bit the recaptcha.php
So, for everyone knowledge, it was related to the secret key that for some unknown reason wasn’t the correct one : https://www.google.com/recaptcha/admin
I really don’t know how this happend since I just copy pasted it and the site key is correct.
Maybe google re-generate it ? I don’t know.
@takayuki Miyoshi
It could be useful to show in the POST response the $response array in case of error (or if $ishuman is false) because in my case it was reported that the secret key was wrong.
That would speed up problem finding process.