Argument 1 is already broken off by BG which says God and Arjuna were always there.
Conclusion 1- This means God is an entity, Arjuna is an entity both these entities were existing. Since they were existing they could not have come out from an undifferentiated something because then they would always have been there. If these multiple identities had come out from a single identity, then the identity called Arjuna had a beginning. So in effect Arjuna and Krishna as separate entities were always there as per BG
Conclusion 2 - The statement always there implies that there was no beginning to awareness. This means that time has no beginning as per BG
So this contradicts your assumption Sravna. I dont know what else to say. Just because we reached somewhere from somewhere else does not mean that we started our journey somewhere.
All your arguments fall off on this one piece.
Folks as per hinduism time has no beginning. We contradict our puranas when we say that. As per Hinduism and Vishnu Purana, as an example- Mahavishnu starts the creation process by giving birth to Brahma. Before this creation process, there was another Brahma and another Universe. Brahma created the invisible and visible worlds. Then the visible and invisible worlds finally fall off and get destroyed . Once they get destroyed the night time of Vishnu begins he is asleep and then after some time elapse ( specified in years by our puranas) a new Brahma comes forth. The new brahma then starts activities again, then pralaya, then a new Brahma , then pralaya, then a new Brahma, then pralaya, then a new Brahma- There is no end according to Hinduism. As these are all listed down in measurable number of years. Hence according to Hinduism Time has no beginning.
If people are unwilling to accept that time is infinite they are contradicting BG and making up their own new Purana. May be to the list of 18 Puranas we can add a new one .