First off, paint correcting the car is a
one time process unless you continue to destroy your paint (which totally wouldn't make sense to continue to do). Paint correction consist of removing extremely thin layers of your clear coat. You can't do that forever as you only have so much clear to start with. Thus, you correct your paint one time, then you practice proper paint maintenance care procedures. I explain that entire process
in this thread.
Next, how long the wax will protect your car totally depends on the wax you use. If it comes across a counter, it's garbage. You need a paint sealant, and then you need to layer that sealant with a good carnuba paste. That is what is going to give you the best protection with your scenario.