If BD pulled down the PRI, then speed probably is a factor. A 23 pt difference is definitely a significant difference between PRI and PSI. The splint on his finger, if it affected how he holds a pencil, almost certainly affected the PSI scores, and the BD score. That suggests that his true PRI is probably closer to his VCI.
I should point out that I ran the tables for his achievement composites based on his VCI, which is the highest estimate of his ability, and based on that, his Total Reading and Reading Comprehension are exactly on target (keeping in mind that the item set format of the WIAT-III puts a relatively low ceiling on Reading Comprehension). Basic Reading is very slightly below predicted--from what you are saying, mainly because of his word attack skills for sounding out novel vocabulary. Not a huge concern as, 1) the ceiling for this is fairly low, too, as phonetic decoding is important mainly in the lower grades, and, 2) he is well past the point of reading mainly by phonetic decoding, and probably is no longer accustomed to approaching reading tasks from that perspective. I'm assuming that it was at least average.
For math, he appears to have done equally well on both portions. The multiplication fluency was probably much higher than addition/subtraction because he is eight years old, and very few children in the standardization sample would have learned multiplication yet, so the same rate of accuracy in x versus + or - would result in a much higher standard score. Am I correct that the other two fluency scores were more in line with his processing speed (upper 110s)?