I'm not familiar with WJ-III because we used WIAT-III.  Hopefully someone else in the forum can help you.  In our case, we had all subtests administered, since the DYS requires a "Total Reading" or "Total Math" score that meets or exceeds the requirement.  I'm guessing that you might need to have a complete battery of WJ test administered.
In regards to your daughter, the DYS website says that at least one of the two tests must have been administered within 2 years prior to application date.  Has she taken achievement test recently, in the last 2 years?  If not, she would need to take either IQ test or achievement test.