The Bible doesn't say that God is "all in all"; 1 Corithians 15:28 (where the phrase is found) says that God the Father will put all things under subjection to Christ, so that God will then become "all in all". Besides that, the phrase concerns God's relevance rather than His essence, I think. Besides that, Romans 1:25 says: "They exchanged the truth of God for a lie, and worshiped and served created things rather than the Creator—who is forever praised. Amen." So God is a separate entity from the creation--the universe. On a side note, I am impressed that Mark seems to grasp the concept of God's superior relevance to ourselves, when he says that God would not be worried about whether we praise Him or not. However, given that God is an infinite Being that exists outside of time and space, I think that it is no trouble at all for God to be concerned with each individual; in the parlance of D&D, everything God does is a "free action"; He doesn't expend energy when He does something. And since we humans were created for the purpose of praising God, then it is in our interests, not His, for us to do that very thing (after all, He has myriads of angels who do nothing but praise Him continually).
It seemed to me that Frank answered the question "If God knows everything, then He ordained all activities to occur (i.e. the popular view of the doctrine of Predestination)" adequately--as the question was stated. God's foreknowledge is not the same as God forcing people to choose one course of action over another. I get the impression that the questioner meant to ask something along the lines of "If God knew everything that would happen once He created the universe, then doesn't the act of creating the universe anyway make Him blameworthy for all the evil that arose?" Well, that's a good question; I would say (along with Frank) that God's act of creating man, even though He knows that man will choose rebellion over relationship, still does not force man to choose the way he does.
It's true that the word "Trinity" does not appear in Scripture; however, there are certain things we do know that leads to the doctrine. First, only God is to be worshipped. Secondly, in contradistinction to angels who alway rejected attempts by men to worship them, Jesus accepted such worship, indicating his divine nature. Thirdly, Jesus always put Himself forth as Someone separate from the Father. Fourthly, Jesus, at the occasion of His ascension, instructed His followers to baptise new disciples in the name of the Father, Son, and Holy Spirit. I'm sure there are other Scriptures that I'm forgetting support the Trinitarian doctrine.