Cluedo with bonus cards. Does move anywhere card let you interact with the place you entered?
If you give us the version name we can give you a better answer but based on what you wrote : 


Since you draw cards at the end of your turn you should not be able to use them instantly
I guess that the move anywhere is instead of moving or before moving, if that's the case you should be able to interact with the room...
Otherwise you shouldn't be able to interact
You can add six to a dice only after rolling them, since you drew cards after moving, you shouldn't be able to use it instantly in order to move again


That's all we can conclude without the edition's name.