Glove box will not open and I broke the lock and latch. How do I get into the glove box?

If the latch and lock are already broken, then use a pry bar or screw driver and break it open. that is the only way...

You will be causing further damage no matter what. you will have to pry the door open or break the lock assembly out of the glove box door. be carefull to only damage the door because repairing the dash is a lot harder and more expensive. obtain a new glove box door and latch and you will have to get a copy of the door key or have the lock re-keyed to use the lock again.