Referring to can do nothing, not to of himself. Jesus, being one with God, can do nothing apart from Him.
The Father do (τὸν πατέρα ποιοῦντα)
Rev., rightly, doing. The participle brings out more sharply the coincidence of action between the Father and the Son: “the inner and immediate intuition which the Son perpetually has of the Father's work” (Meyer).
Better, as Rev., in like manner. Likewise is popularly understood as equivalent to also; but the word indicates identity of action based upon identity of nature.