Psych Testing by Psychhologist

When a Physchologist performs Psych testing "96101", is there an additional CPT® code for the following tests adminstered?

WISC-IV, WIAT-II, BDI-Y, BASC-11 SELF AND PARENT, CONNERS 3P AND 35R

Also, when the Psych test was administered by tech for example in AZ but interpreting the test results and preparing the report is done by Psychologist in CA. can the total claim be billed by Psychologist in CA or how would this scenario be billed?