Ok, thanks for the information.
Since you have a remote, the fan can be wired in several ways with 2 switches.
1. The fan and light are both on the remote, then only ONE switch would operate both, since the switch would only cut power to the receiver.
2. You could have the fan only on the remote and the light on the second wall switch
3. You could have the light on the remote and the fan on the second wall switch.
It all depends on how it is wired to the receiver in the light box.
To access the wiring, the fan does not have to be removed if it is hanging on a pipe.
You simply drop the cover on the light box and you will see the house wires and the receiver.
I suspect, that either they did not connect the light wire going down into the fan in the ceiling, or else the receiver may be failing.
In order to find out, need to access the wires and receiver.
A standard wiring diagram is below to understand how they would both be on the receiver.
The other picture shows how the receiver is slid into the hanger bracket.
The key will be, are the black and blue wires to the fan connected to the receiver or does one connect only.
Fans normally have black and blue at the ceiling wiring, but sometimes black and black/white