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if you need to ask, then maybe you know it's "off." do some thinking and determine why you have this compulsion, then consider why he continues to allow it. chances are you're looking for someone to reciprocate. if he doesn't, then maybe you should consider finding someone who will.
Those are perfectly normal things to do for each other, but you made it weird by using the phrase "babying" to describe your affection for him.
The only thing that warrants concern is that you made no mention of him reciprocating.