I've not looked too closely at the code but the playGame method having a game play loop which tests for "not started" seems wrong to me. Shouldn't it be
testing for "playing" or "running" or "not finished".
Also in the if statement where you test to see if a player has rolled 6 and hasn't started yet you set the game loop variable "started" to true, shouldn't that be setting the players started state to true.
Finally the "while player has started" statement should have an opening curly brace after it and a closing curly brace at the end of the code block as it's not clear what code you intend to run when the while statement is true.
On a different note all together, I suggest you move sections of the code into their own methods so your play game method just has the control logic and a few calls to other methods. It will make it much easier to understand what is happening.