An internal audit going before the City Council found that San Jose often fails to track fees and waivers for high-rise development.

The One South Market apartment tower has some very peeved tenants, who have reportedly dealt with numerous breakdowns and infestations.

Plans to revamp an old office building on the corner of First and Santa Clara streets are too drab and unambitious for the city center, according to the San Jose Downtown Association.

Since slashing construction fees for high-rise development in downtown, two towers have broken ground, including the $135 million 23-story project at One South Market. Hoping to spur more nearby development, the City Council on Tuesday will consider whether to vote in a similar half-off discount for buildings of any size as long as they create jobs. Other items on the agenda for the first council meeting of the 2013-114 fiscal year include another look at building restriction height around the airport, a potential study of the city’s sewer system and an update on the city’s graffiti abatement contract.