The ac drain hose is in a separate place then the cabin air filter.
For the filter, pull down the glove box.
Reach in both sides, and you will feel/see the 2 "pins" that stop the box from coming any further down.
You need to squeeze these out [push in twards the center], so the box will drop down more.
Behind it you will see a black or white plastic piece that looks something like a bar.
It might say something on it.
You need to remove it [it will have some type of clip holding it in].
The filter is inside this.
As far as your water leak.
I guaruantee your ac hose is clogged/disconnected.
You don't need a complete ac service to fix this.
Get under the pass dash.
You might have to peel up the bottom of the carpet [I can't remember exacts on the Corolla], but what you are looking for is a black rubber hose about 2x as thick as a pencil.
It will go through the firewall into the engine bay.
You need to pull it off the ac evaporator [it slides on and off], pull it out of the hole, and run a coat hanger or such through it.
Water will probably flow out when you remove it, so be ready.