Lawyer, attorney, barrister, solicitor, counselor, counsel. These are all titles for the exact same position.
I refer to myself as a lawyer and an attorney interchangeably - but I find that I use attorney more often when I am writing and lawyer more often when I am speaking. Sometimes I will introduce myself as "counsel for the petitioner," etc. When judges get irritated, I find that they call us "counselor." It's just a matter of habit and personal preference.