Here's my situation

About a month ago I noticed a couple large charges on one of my credit cards, one for over $500 and one for over $1,000 to an online retailer. Neither was of my doing

I filed a fraud claim with my CC company. Their investigation concluded that I'm not liable for the $500 one but am for the $1,000 one

They say there was "proof of delivery" for that one, I never received anything. On the call with them they were able to give me he e-mail address that was used in this transaction. I do a simple facebook search and a profile comes up out of Costa Rica, I live in the US. This person is using or had the same exact name as me, maybe not a fake profile because it has 300 friends

For reference, my gmail account is firstnamelastname09 while the e-mail used for the purchase was lastnamefirstname587...close, but still not my e-mailI mail the online retailer, tell them this, and they flag the account as fraud, that's all well and good but I'm still out of $1,000. I tell the CC fraud department this but they still say they have proof of delivery. While the case is reopened, I have a feeling they aren't going to change their minds.

I have a feeling I got scammed, or this guy out of Costa Rica made a purchase and I somehow got billed for it, even though I don't remember ever doing business with them?

So, what I'm asking is, should I just pay the $1,000 and not risk my credit being ruined and close my accounts with this credit card company, or should I hire a lawyer and take legal action. I'm not looking to get rich, but I'm not looking to get buried in legal fees either. Heck, I'd be happy breaking even

Any advice is greatly appreciated