Defeating Smaug:
The Ring will be no help you have to stay behind debris until all of the fires are gone. If you take one step out you will die even though it appears he has stopped there is still fire there.

Saving Beorn:
Push four different blue barrels located around the area in order to save Beorn on the last level.

Follow the Courage Crystals without stopping to
fight and use the ring when you encounter enemies to advance quickly as you are being timed.

Wine bottle riddle in Lake Town:
Get all 5 wine bottles in Lake Town and Malloc will tell you a riddle about how the bottles are arranged. The following is the order:

1. Yellow Wine Bottle
2. Blue Wine Bottle
3. Red Wine Bottle
4. Black Wine Bottle
5. Purple Wine Bottle