I message off on your iPhone would it show on my detail billing on my bill

Detail billing will not display anything about iMessages. iMessages are data exchanges, and the cellular carrier has no information about it, except for the amount of data you used. It is the same as an email, or surfing the web with Safari.

Sabina, your question is not clear. Help us to help you, if we are able to.

Write it in your native language.

Regards

Giulio