At 48:25 of Part One, Jackson made this statement "Even in ancient times God did not have in mind for children to be beaten up in a bad way."
Jackson said that children should not be "beaten in a bad way". When asked directly if the JWs practice corporal punishment he said "Hmmuh."..."No"..."not me personally".
I don't think Jackson ever did say that corporal punishment was actually prohibited - to the question "Does your church practice corporal punishment?" he finally squeezed out a "no". But, he never did say that "his church" prohibited it.
(part one at about 51:30) Right after this exchange about disipline, he is questioned about women and Jackson does a defensive move - he drops his hands down behind the table and it appears like he is covering his genitals - a classic move that happens when someone who is lying feels vulnerable.