I walked around old Antalya all day. Kaleici is a wonderful historical place. You should definitely go boating. The staff at the cafe is very friendly - it's amazing. I had lunch at a cafe. And the second time, the owner just persuaded me to come in - I explained that I had just had lunch and - he made me a great coffee for free and I drank it with pleasure)
It is very convenient to take an elevator directly from the embankment. There are 2 elevators on the embankment. There is a rocky coast in the area of the historical port and the center of Antalya and it is very convenient to go up and down by elevator. Very nice view from the upper glass platform.
We were in April, out of season, but the queue for the climb was already decent. We went down on it without any problems, we went up on foot, strolling along the streets. I recommend it for a visit, but you need to understand that demand will increase significantly during the high season. We'll have to wait.