If this one is a counterfeit, this hobby is going to be in a lot of trouble, because that is a very good one. The sophistication of counterfeits is getting better, making it harder for the average collector to pick them out.
That being said, I am not yet convinced it is a counterfeit. I would need better pictures of the coin in question and a side by side comparison of blow ups with the real deal. The feathers look to be in right place, the lettering that I can see clearly of mottos is similar enough to the real coin.
The reverse Ns (in "ONE" and "CENTS") are shallow in the real piece pictured above, but I'm not sure shallow Ns is observed on all 64Ls. The Ns on the reverse of the coin in question are not as shallow looking which could make one to lean towards questionable. But there are strike differences depending on die wear, strike weaknesses in the series (think the 1877, which has well known shallow Ns on virtually ALL pieces).