Just stopping by to hello (HELLO) and to see where things are at. So nice to see you posting!
I don't know about where you are living (US or UK) but down this way, guardians are entitled to any information directly from the health practitioners or schools. If your STXW appears to be slow at providing the information, go straight to the source. Let them know that the children are in a shared care/ or separated parent situation and that all appointment letters and reports need to be sent to both you and wife. Let them know that if copies come to both you it avoids lots stress.
I have yet to come across a doctor, nurse, health administrator, school or school admin person who is not willing to provide assistance.
Just a suggestion. I think the shared calendar is also a great idea.