The answer to this depends on how you view the Bible, I view it as inerrant in Spiritual Truth not in historical fact. The early Hebrew histories (Kings, Chronicles and such) were written by different groups and different groups have different takes on history. As far as the Gospels...each writer wrote for a different audience so there are different focuses.
Some of what he brings up is just double talk...for example:
Did Jesus say anything secretly?
(a) No. I have said nothing secretly (John 18:20)
(b) Yes. He did not speak to them without a parable, but privately to his own disciples he explained everything (Mark 4:34). The disciples asked him Why do you speak to them in parables? He said, To you it has been given to know the secrets of the kingdom of heaven, but to them it has not been given (Matthew 13: 1 0-11)
Two different issues, one is how he preached openly and those accusing Him never came then, the other is explaining the meaning of things to the 12 differently by telling them the deeper meanings than to the crowds, where He spoke in Parables. That is just not the same thing. And there are many of those in his list. Others can be explained by understanding what the Church teaches on the Bible and where the Bible came from as a document and what the protection of inspired writing is and is not.
But other issues of contradiction come down to:
What is meant when we say the Bible is inspired?
Do we claim historical or scientific perfection?
I'll try to get to it more fully later if someone else does not first.