The Church of Jesus Christ of Latter-day Saints does not endorse any particular theory regarding Book of Mormon geography including the actual location of the final wars of the Nephites and Lamanites.
Some have used scripture to support the view that the hill close to the Smith's home is not the same hill as the place of the Nephite destruction. While that is one plausible view based on this scripture, that point is left ambiguous.
During his 36-year wandering to escape the Lamanites, Moroni could have traveled a great distance including traveling with or without divine assistance to the New York region with the plates.
The Book of Mormon may use the term "10,000" as a designation for a military unit rather than to signify an actual number of soldiers. Roman armies had "centuries" (or centuria) which were lead by a "centurion," which implies a hundred men. While such units originally had 100 men, the normal size of such units (even at full strength) was only 60–80 men.