Should I close my old credit card?
NO 
Closing old credit cards has the following negative impacts:
Reduces Your Combined Credit Limit – as you no longer have access to that card’s limit, this will reduce your total combined credit limit.
Increased Your Balance Usage – if you have a balance on other cards, the card balance percentage usage will increase which is not a good sign.
Reduced Average Account Age – the average age of your other credit agreements will reduce.
So, keep the card open, but ensure the usage is as previously described.