Nah, its fine to tell a porkie, about education, there not interested in that, its the experience, if you are going for a job, it can be awkward right enough, if you do, as guaranteed what goes out must come back. The same with the education ok, for jobs, but not for further education.
I hope D.T, helped you with the lay out of it, as I was unsure myself, so got one of my friends to redraft it, using the info I gave her, it always helps, gaining knowledge on that part from somebody else.
I hoped your are on your way to a new career, soon.