Nice photos! - most likely they are not Arctic Tern eggs. One good clue would be what type of adult bird you noticed as you approached the eggs - since the eggs were warm, an incubating adult may have just flown away.
Based on the location and our experience with birds in that area, they most probably are Short-billed (formerly Mew) Gull eggs. Here are some more clues.
Arctic Terns (ARTE) and Short-billed Gulls (SBIG) are both in the "gull" family, with similarly shaped eggs with variable dark speckles.
ARTE are small, delicate birds, so have smaller eggs (1.4-1.9 inches)
SBIG are larger and much heavier, with larger eggs.
ARTE usually lay 1-3 eggs
SBIG lay 1-5 eggs
ARTE usually lay on a scrape or hollow on the ground, especially if in a colony, but can also lay on or next to vegetation; but do not build a large twiggy nest
SBIG nest almost anywhere, but are attracted to the fringes of an ARTE colony, and almost always build up a large twiggy nest
Also, the All About Birds website is a reliable starting place for basic bird information: