It is hard to make a good assessment of any possible grade of the coin from pics! It would probably be best to take it to a couple of knowledgeable and trusted Coin Dealers and get their opinion. From all appearances and from what I can tell from the pics, it is a nice coin and definitely deserves an MS-63 grade but whether it can get a MS-64 or MS-65 is uncertain. I will state that it appears to be somewhat of a weak strike and was probably due to the use of Dies that were in the "Late Stages" of their' life and use. This may have contributed to the Graders only giving it an MS-63 grade but there may be issues that are being overshadowed by viewing pics of a coin in a Grading Service's holder. There is always an option of sending it in to PCGS and hoping for a higher grade or at the least of a cross-over of the same grade into a PCGS holder. While NGC is a well trusted Third Party Grading Service, history of sales generally show that coins graded by PCGS and of the same grade, will usually fetch a premium over NGC or other Third Party graded coins. A person also has to factor in what they have into a coin already and the costs of having it regraded by NGC or PCGS and if the benefits are great enough to warrant the costs. Based on sales since mid-January, just having it crossed-over at the same grade into a PCGS holder, could net an increase in value of 50% or more over what you have in the coin at the present time. In the event that it gets a higher grade, then that is a real win...win situation for you.
Frank