I'd invest a little money (around $50) and join the Aircraft Owners & Pilots Association (AOPA). With a simple phone call or a view of their website, you can find out if the meds you are taking are "allowed" by the FAA, "allowed" with various test or totally "disqualifying." I can't comment on the specific meds you are taking as I'm not a doc or a member of the AOPA medical staff. I think, if I remember correctly, that even if you are off some of the meds, you are still going to have to report visiting the doc for the past 3 years and purpose of each visit has to be stated. That said, if you have the right paperwork from your doc when you go to the AME and your remaining med(s) are not disqualifying, you should likely get your medical certificate. However, I still recommend that you call the experts at AOPA as all I am providing is limited and perhaps useless information.
NOW, on to the more important question -- "am I too old for this." In the famous words of Wilbur Wright, "f no." Come on, you're only 62 -- go for it. You are as young as you feel. Your excitement and confidence levels should be high right now. Ask your flight school to give you an hour introductory flight and to let you fly most of the flight. What difference does age make if you are in love with aviation? Remember all those stories about grandmas and grandpas getting their college degrees at age 95 or whatever? You can do this. Shoot, I'm 61 and am trying to get my Airline Transport Pilot license (single-engine, which is a separate matter) just so I can refine my skills and have an aviation goal in my retirement. My cousin is 71 and he's thinking about buying a Mooney. So, no, you're not too old. (That said, all I know about you is your age and some medical stuff -- I'm assuming you are mentally and physically healthy in other aspects, etc.)
Good luck in your flying endeavors. Remember, join AOPA, get a introductory lesson, and report back on this forum re: your adventures.