No EL P. doesn't make a S/C for your Corolla.
Stafford Fabrications has a Turbo Kit that is being tested on a 98-02 Corolla as we speak and will be available for about $3500.
The TRD Super Charger for '03s should fit with a custom hood (around $3000).
Or go to a shop that does custom Turbos.
All of this is pretty expensive.
There is no engine that will swap easily without a lot of expensive custom work. I have seen one or two 2zz-ge Corollas but I don't know how much was spent for that.
As for your CAI, AEM does not make one for you car. Injen and E.L. Prototypes do though. E.L. P. also can bore out your Throttle Body for you. Or you can run a Celica GT Intake Manifold and Throttle Body.
As for exhaust many companies make a universal high-flow-cat. The only company I know of that does headers for the ZZE-110 is OBX racing, but I heard they can be shady about shipping you your stuff on time. (They have it available in ceramic coated though wich is nice) Thermal R&D makes a cat-back for your car as well as a few others. TRD makes a muffler.
Go ahead and lurk around at
www.vvti.net/forums if you want and just look at people's signatures to get an idea of what mods are available.
The master sticky here has a list of about 90 compasnies that make products for Corollas so start browsing...
Good luck