Just a quick question as to why you're using a Global Explorer fare rather than a Oneworld Explorer? Your route is valid using both products, but the base fare for the Oneworld Explorer is $100 less and there's no mileage limit, so you could add some Asian or European segments (or if you returned to someplace besides NYC from London, a couple more North American ones) with the only additional cost being airport taxes or (oy) fuel surcharges on the "extra" segments.
Presumably you also know that you could save thousands of dollars by starting and ending somewhere besides North America, e.g. starting in the Euro zone would reduce the base cost by $2000 or so. Of course you'd still have to get to/from Europe at the ends, but maybe miles or ?