I can't tell from the pics if it's a #2 or #7 action. That would make a large difference in the price. And a GOOD reline is very hard to identify, unless you have an identical condition gun right next to it that hasn't been relined.

But one way to make a good guess is if the outside of the gun is 'way more worn than the inside of the bore! Old .22s often show their age in the bore just as much or more than in the outside finish, especially those made before "Kleanbore" priming. If the bore is cherry and the rest of the gun well-used, chances are it was relined. A real Remington guy, could tell you if that "22" mark is factory. I'm not one.