In my opinion push here was a little too much, even though the villain had position on you...
...you should treat minraises as 2 limpers, so a bet of 6BBs(1,5$) would be good here. And here is even a better spot since there are not really 2 limpers, but only one minraiser which means you are heads up on flop if you get called and you can take down the pot with contibet even if you miss the flop.
However I always push OOP if there are 3+ limpers, but 2 limpers I prefer to regularly raise.
...and there's one more important thing with this kind of play, you should always play the same, you shouldn't push just AQ or AK, but make a normal raise when you hold high PP, because this way people will find out when you're strong and when they can expect a coinflip.