Yes Fully man and at the same time God, because as i explained before many time he is God who took upon himself the likeness of a man, made himself as a man, as a result becoming subject to the flesh, to the body that things that govern us and limit us. As a said God is in three distinct parts, the same as you, so only as the word, the word that was with God and was God did he become flesh and be dealt among us. Being subjected to the flesh included being vulnerable to all the weaknesses and temptations of the flesh, it is the will and the nature of the flesh to seek sin, the flesh wars with the spirit as it is mentioned in the scripture. Just because he made himself a man and came in the flesh doesn't mean he lost his identity, he was still who he is, Still God, but just God in the form of flesh, fully as a human being.
Not his will, his will in the flesh be done but the will of the father in heaven, as being in the flesh as mentioned before he was tempted by things in the flesh. Remember how Satan tempted Jesus, the bible states it is the flesh that is wicked, the flesh that wars against the spirit so as he was in the flesh he was subjected to everything of it, including things such as the vain desires of human beings ans the flesh hence let the father and not his will be done, as the will of the flesh is opposed to the will of God.
He was drawing his power from The father, a distinct part of himself that exists separately because again he was in the flesh and while he was living as a human being he was subject to the limitations and weaknesses of a human being, therefore he had to draw his strength from somewhere. Remember God knows all, it is possible the whole reason why we and God exist in three parts, mind body and soul is because he knew he would have to come down in the flesh as a human to die as a redemption for our sins, and as a human he would be without his true Godly form or powers, therefore the distinct parts existed to leave a part of himself there in heaven which he could draw strength from while he lived in a human body. Living as a man and being limited to being a man he had to also connect back to his power, back to his God self the same way a man connects to God.