Yes both times.
PS Afterthought. There's another sense of 'push around' that is obviously irrelevant here: 'The important thing to remember is that bullies are cowards. Don't let him push you around.' You could avoid any facile 'jokes' by making sure the 'around' is part of a prepositional phrase, such as 'around the supermarket' or 'around the carpark'.
Student or Learner