On the windshield wiper modification - I've seen other 8th gen Corollas add a stalk from a model with INT mode and it worked. Just have to secure the appropriate wiper control stalk.
As for alarm reprogramming - I have the factory Toyota VIP system on mine, and it doesn't have any provisions to allow customized locking/unlocking. Yours sounds like a newer one or one from another vehicle (Camry perhaps) installed into the Corolla or an aftermarket unit. To be sure - do you know the model number for your system? Should be something like VIP3000 or RS3200 or similar.
Doesn't help that different markets also get different equipment (Gulf states get one type, NE states get another, etc.) - as most of these keyless entry and/or alarm systems are port/dealer installed pieces. Some get something called a Securikey+ system as installed equipment, completely different than other factory systems.