Good sway bars are from Hotchis, Progress, Eibach, a few more as well - I don't recall if the others have fitments for Corolla.
Strut tower brace or strut bar - make sure that it as rigid as possible. Bunch of them out there are made from cheaper aluminum and have holes cut into them to look "cool" - but as stiff as a wet noodle. If you can bend the bar by hand - then it is not going to do you any good. Cusco, TRD, and some others are good. Don't skimp on these parts - as what you pay is what you get.
If you go the lowered route - progressive rate springs - they should be higher in spring rate compared with the OEM ones - the lower the drop, decreased amount of spring travel/compression, the higher the spring rate. Otherwise - you'd keep running into the stops. Keep in mind that the higher the rate - the stiffer the ride - that's why progressively wound springs are popular, initially soft like OEM then stiffer as the spring is compressed. OEM struts in a droppes suspension don't last very long - but if you get the approved strut for application - it could be several years before they need to be replaced (also depends on how you drive).
If you go 1" - 1.5 drop - a few people in the car should be OK - depends on how rough the roads are and how much they weigh .
On the 2003+ Corollas - you can stuff as much as a 18" wheel under there without rubbing too bad. All depends on the wheel offset and width of the wheel. I believe the Corollas are spec'd for 35-45mm wheel offset and max width of 7" (205mm tire). 16" is almost a sure bet of little or no clearance problems - 17" wheels, may have to roll the fender lip to keep it from rubbing. Have to factor in the total amount of drop and wheel offset to determing wheel clearance issues.
I run a 205/45R16 - no clearance problems even when fully loaded down - but I also retained the OEM springs and struts. They seem to be a good compromise of increased tire contact patch, ride quality, increases handling and pothole/hazard resistance.