To the business side of this (I tend to focus on your self-development)...I am confused. It appears that you are giving her money a lot and then she sends you an email saying you aren't? Have you come to some sort of financial agreement on child support or is still up in the air? If you haven't come up with a number, look online for a child support calculator for your state. Most states have a pretty solid formula for how base child support is figured....find it...come up with the monthly and divide by four. That is the base check you send her every week. Then if she needs more you setup an effective line of communication. Say for the eye appointment.
Wife in email-S has a doctor's appointment. Co-pay is this much and he may need glasses.
Ayk-Co-pay is covered by the check I sent you this week and I will split the cost of the glasses with you. If you need more than that inform me so I can set it aside. I do have a date with this hot stripper bubbles tonight which might get expensive and I want to make sure son has his glasses.