Christ's 'mission' is the Salvation of mankind through His death and resurrection - or put another way, there was never any other end in view but the Cross.
As you rightly point out, He is like us in every way, except sin.
He was more than human after the Resurrection, and this is one of my personal areas of inquiry - but it's not a simple or quick discussion - but as brief as I can make it, Christ, although fully human, could nevertheless appear and disappear; could pass through solid surfaces - and could determine who saw Him, and what they saw.
There is Scriptural evidence to suggest that He did not look exactly the same as before He died, because those He spoke to failed to recognise Him initially, until He spoke to them, which suggests to me that He had not only a 'control' of His own appearance, but a 'control' over how He appeared and to whom.
I would say that whereas before His death he was subject to the limitations of His humanity (uncertainty, hunger, thirst, pain, etc) after His resurrection He was fully human but had transcended those limitations of humanity that continue to bind us.
St Paul talks of the resurrection of the body incorruptible, a mystery yet to be revealed, but it's foundation is here.
Thomas
Thomas
