Condo Rental Fees

The $500 leasing fee is usually paid by the owner and is paid to the condo. This is normal. The owner can however, try to get the sublettor to pay it but it is a bit greedy. Generally, one pays first month's rent and one month security but again, it is up to the owner. The move in deposit is normal however the amount is not. It's usually $500 and is returned upon move in provided there are no damages to the building during the move.
If the listing says "no fee" and it is indeed the agent's listing - the agent who showed you the apt, then something sounds fishy here. If it is someone else's listing, or an "open" listing, then there's nothing you can do.
The amounts are very steep so I'd be very sure that you can a) renew for at least another year or more and b) Be sure you really love this apt and that you are getting a fair rent and determine next year's rent NOW!

I would ask why there is both a "processing fee" AND a building app fee, as the building's managing agent is usually the one handling rentals, so this would seem to be a double dip.

And check to make sure that the move-in deposit is returned to you after the move if no damages have been incurred. I did run into one condo that basically charged a move-in fee based on the size of the apartment and kept it (good way to build up a reserve fund).