Welcome to NGC and the forum, I will just second much of what has been said above. The first thing that struck me when looking at the photo is the flat dull look, like the coin has been dipped to death or the luster was stripped. Also, the toning does not look natural or have a natural progression or pattern to it. Having said that I have seen coins from the seated series that have colors and patterns that are similar to your coin. Photos only get you so far and this coin would need to be rotated under a strong single light source to see if there is any true luster movement under the tone. In answer to your questions I also do not think that restoration is going to have any effect, and I'm not at all convinced that NCS would do any form of restoration biased on what I see in the photos. And given the long wait time, costs, and high likelihood that NGC would also place the coin into a details holder I do not think that sending to NGC/NCS is a very good option. But I have to admit that if this were my coin I would be tempted to go for that second opinion at NGC.
The really sad thing is that if this is sold into the market I think there is a strong possibility that it will surface as a raw coin with a big asking price on a venue like ebay or etsy with no mention of any issues.
Totally unrelated to your post I am curious if you have ever consigned coins to Gerry Fortin, I review his inventory often and have seen a number of coins that are noted as from a collection with a very similar name as your screen name.