I can't comment on the test scores, although I am eagerly awaiting hearing from those more experienced.
Being unable to express oneself academically, being unable to participate fully - such as not reading well - can be extremely difficult for children to cope with. I have a nephew with probably dyslexia which is still not properly diagnosed at age 10 (but parents are working on it). His lack of reading ability has been emotionally devastating, and if one wasn't aware of his academic and related social difficulties, he would appear to have a mood disorder, or oppositional defiant disorder, and certainly an anxiety disorder. His parents are withholding judgement on that until his academic issues are addressed, although he is receiving supportive therapy to help him cope in the meantime. I would suggest probing the discrepancies in these reports before coming back to a mood disorder point of view.
Once a mood disorder is noted, it can be very difficult for a person's health to be properly managed. I was victim to this phenomenon. I was misdiagnosed with a mood disorder without proper evaluation and was tossed around the mental health care system for 14 years with a dozen or so diagnoses. Turned out I have a *physical* health problem that affects the autonomic nervous system. I happened to stumble across it on google, then was lucky enough to convince a doctor to refer me for testing.
Mood is often a product of circumstances and overall health. I can't help interpret what the test scores mean in terms of your child's abilities, but I would suggest there is a good chance that they mean your child's anxiety and affect are only a symptom of the underlying problems that the test discrepancies indicate.