I Am the True Vine
Jesus is the vine and we are all branches. Any branch that bears fruit will be pruned so it will be able to bear more fruit, but any branch that does not bear fruit will be cut off and burned in a pile. If you keep the commandments of Jesus, you will abide in him as he did in the father. The main thing Jesus wants is to love each other as he loved the disciples.
I'm not a huge fan of the metaphor, but I do like that the focus here is on loving each other.
The Hatred of the World
If the world hates you, know that they hated me first. I have plucked you from the world and now the world hates you. If you were still of the world it would love you.
This is an interesting idea, you were of the world and the world was cool with you, but now you are of Jesus and the world hates you. The thing that comes to mind, how does this change if the world is majority Christian? Or at least your local environment, if the country you live in for example, is majority Christian, it flips around a bit.
If I have come and talked to people and performed miracles and they still don't believe, then they are sinning and they have no excuse for their sin. However, if I had not come and done these works, they would not be guilty of sin.
Well now this is interesting. It reads to me like it is saying before Jesus came around, no one knew any better so they wouldn't get thrown into hell. Which seems good because it isn't really fair to get thrown into hell if you never had a chance. Although, if that is the case, what was Jesus saving us from? If my interpretation is correct, Jesus really set things in motion to allow us to burn in hell. Ok, I confused myself here.
After Jesus is gone the holy spirit will bear witness about him as will you (Jesus' followers)
I'm not really sure what it means that the holy spirit will bear witness. Perhaps this is the idea that you feel it in your heart or something.
The hour will come when people will want to kill you and think they are offering service to God, but this is because they do not know the father.
This kinda sounds like any other rivalry to me (escalated to killing)