I am not sure what how this bears credence on whether this is God dictated or inspired?
There is nothing negative about women or slavery in the NT.
Women are simply to submit with the authority of man, like man is supposed to submit to the authority of God. We are not forced to follow His will, but it is our best interests to. Same for a woman, who is not forced to, but it will result in a more successful marriage (or one tenant of that).
Slavery is also allowed and somewhat advocated by God as a means to deal with things in this fallen world. Divorce is also a means to deal with this fallen world.
But we can't compare slavery of then to slavery of our recent past, or more-so, the bad parts of slavery or our recent past. Slavery isn't a bad thing, guns are not a bad thing, Monarchy isn't a bad thing, but all of those can be used for very bad things. Slaves of the Israelite's were to be freed on the 7th year. A person who owed debt, would be a slave (don't go into debt). Aliens were slaves, a way to assimilate them but not give them great power or respect to corrupt when they first joined. Israelite's were also instructed to treat them kindly and not abuse them. Slaves were a very merciful and logical thing to have in society.
I am not saying Pauline schools were or were not God dictated, merely, the fact that slaves and perceived/perverted used of degrading women does not invalidate the godlyness of a passage.
As BioLogos says, the Bible was written for everyone, not to everyone. Jesus is speaking to this person. Perhaps it was a hold sin had on him, the only hold. And giving this hold up, would have resulted in perfection from then on. I don't think Jesus is saying "everyone will be perfect if they give all our money away".
This verse bolsters that above logic. He was lacking in one thing, he trusted God in all things but money, this would have resulted in his perfection. The cross that Jesus took up was following the will of God, even when it seems like (in our spiritual myopia) that our way is better.
I don't disbelieve this at all. Though I think it was somewhat of a metaphor to say, one that has even a little faith, can create a huge change.
John 14:14 You may ask me for anything in my name, and I will do it.
It isn't merely asking with the physical name of Jesus coming out of ones mouth. It is the name/authority of the life of Jesus, who is the glory of God. Like when they used to say Joseph, son of Jacob, son of Issac, son of Abraham. Your name was your identity, your heritage. If you ask something in the name of Jesus (who also said, "not my will but yours be done") it will be done. I have no doubt in that. But at that point, it was going to be done anyway, so your asking didn't really do it.
But if you knew it to be God's will for a mountain to move, and you asked Him to, it would happen. In believing something you are asking is God's will, that is faith of a mustard seed (little faith), and it will be done, if it was indeed God's will. I believe everything Jesus asked was granted to Him (that was God's will). Jesus asked for the cup to be removed, it wasn't. Was Jesus lacking in faith? Is that why it didn't happen? None of those are false or contradictory statements, they just need to be understood differently.
And yes, I do think Jesus really did say those two things. I can weight them against the Bible in it's entirety and it is not in conflict with any of it, and actually agrees many of it.