When it comes to me the pot is $12, and my raise is $10

That's a 5/6 pot raise...
Perhaps I could raise $15

Is my play *inherently bad* for any reason and if so why?
Is it bad because my opponents were in all likelihood willing to commit a bigger mistake had I let them by raising to $15?

Would it have changed the outcome of the hand?

If I raised bigger do i just push the flop?