Well, as a veteran of the U.S. Navy, I can confirm that the largest ships ever built are the Nimitz class carriers. When I say largest I mean overall size and weight. Ironically, the U.S.S. Enterprise (built decades ago) was the longest carrier built. And, consider this when you mull over American naval strength. We have 14 operational carriers with more coming online every year. But we also have several decomissioned super carriers of older classes available for use within two months time and a fleet of standby aircraft parked out in the Sonoran desert in Tucson Arizona (I know this because I live there) to complement them. Aside from nuclear weapons, the ultimate tool for power projection and control of the sea lanes is the modern carrier battle group. Oh, I'm also glad to see the English are getting back into the power projection business with their own super carriers. It is nice speaking as an American to see our friends have a little muscle to flex.
Next topic. They are called stealth fighters for a reason. That reason being that they are "difficult" to detect without the best and newest radar systems, and even then it is extremely hard to spot them as their signature is akin to that of a large bird (albeit one doing 550 knots at 35,000 feet ). If they were impossible to spot on radar they would be called Invisible fighters or Undetectable fighters or more likely, they wouldn't be called anything as our government would never let out we had something like that in our arsenal.