Hi and welcome aboard. I'm 44, and have been learning since May, having bought over e-bay whilst slightly full of Chablis (and luckily having landed a good Yamaha YAS 23 which, touch wood, is in perfect order !). I take lessons once a week, and also have a yamaha 4c. My teacher says to leave the mouthpiece for at least a year, until I have really developed my embouchre and worked on tone etc. I have no idea if this is good advice or not, but it sounds kind of reasonable.
Good luck with the sax, it is a wonderful, if not frustrating instrument. The guys on this forum are really helpful and friendly.