You also have the right not to disclose your immigration status to ICE without speaking with a lawyer first, you have the right to have your consulate notified

You also have the right not to disclose your immigration status to ICE without speaking with a lawyer first, you have the right to have your consulate notified if you get arrested, and generally cops aren't allowed to just randomly ask people for their immigration status. Note: at the border none if this applies. It is pretty much a "rights free zone"