Philemon, an allegory?

Consider the following passage (Philemon 8-18) with these analogies in mind:
Paul (the advocate) : Jesus
Onesmus (the guilty slave) : us (sinners)
Philemon (the slave owner) : God the Father

Accordingly, though I (Paul) am bold enough in Christ to command you (Philemon) to do what is required, yet for love's sake I prefer to appeal to you—I, Paul, an old man and now a prisoner also for Christ Jesus— I appeal to you for my child, Onesimus, whose father I became in my imprisonment. (Formerly he was useless to you, but now he is indeed useful to you and to me.) I am sending him back to you, sending my very heart. I would have been glad to keep him with me, in order that he might serve me on your behalf during my imprisonment for the gospel, but I preferred to do nothing without your consent in order that your goodness might not be by compulsion but of your own free will. For this perhaps is why he was parted from you for a while, that you might have him back forever, no longer as a slave but more than a slave, as a beloved brother—especially to me, but how much more to you, both in the flesh and in the Lord.
So if you consider me your partner, receive him as you would receive me. If he has wronged you at all, or owes you anything, charge that to my account. I, Paul, write this with my own hand: I will repay it—to say nothing of your owing me even your own self.