We did surprisingly well against the Royal Navy in that conflict - the result of an investment 20 years prior in six 42 gun frigates that were technologically superior to anything they had. The Royal Navy had a massive fleet, with over 100 ships of the line, compared with our tiny fleet of frigates, but we weren’t the pushover that they supposed us to be, and the fundamental cause of the conflict was the Royal Navy‘s abuse of American citizens through impressment into service.
British, and Canadians, like to talk about the Chesapeake Campaign and the White House, but not every battle went their way, even though the Empire had the world’s largest professional military and was fighting American Citizens that had been called up or volunteered for war.
The Battle of New Orleans, was a devastating loss for the British Army, who walked into well-prepared defensive American position, full of arrogance, and lost a great deal of their officer corps to well aimed American fire. In the end, the force of 10,000 British soldiers lost nearly 300 killed in action to 13 Americans lost in action.
As was stated above, we made quite a few changes in our military following that conflict.