The British Army at New Orleans took a bit of a beating but it was far from destroyed. The army merely re-embarked on navy vessels and landed again further down the coast. When news came of the Treaty of Ghent the British were preparing to attack Mobile.
As Sphere has already pointed out the Royal Navy was dominant on the sea around the American coast, especially when you consider the impact on American trade and the fact that British troops could pretty much land anywhere at will. A few ship on ship actions in the Americans favour doesn't change this fact.
Where the US truly deserves praise is in it's performance on the Great Lakes especially in battles such as Lake Erie.