I have to suggest that a certain amount of acting out by a 4yo is to be expected, and sometimes even encouraged
Surely every 4yo should occasionally get to be a rascal! Also I know you probably couldn't think of any good examples right when you were posting, but taking shoes off during a boring doctor visit (definitely not free play) wouldn't be anything I'd blink an eyelid at ... neither is climbing, nor probably sibling terrorising within reason. Maybe check if your expectations around standards of behaviour are not a little too high? Have you got lots of cool stuff to free play with? Get some equipment that he is allowed to climb on if the basketball hoop is out (and nothing too easy!)
