Welcome to TOC USA!!!1
I may have a Matrix, but we have the same 1zz-fe motor.
With 30k miles on your Rolla, it sounds like your MAF sensor is a bit dirty.
MAF cleaning:
http://matrixowners.com/?showtopic=65513
Also for more ideas on maintaining and/or modifying your 9th gen corolla you can go here:
9thgencorolla.com
Note - there might be a TSB (technical service bulletin) about the hard starting issues with Corollas.