No open or closed choices on this coin. There are arrows on either side of the date making this variety 5 which indicates a change to the weight of the Dime. The open and closed variety only occurs on variety 4. Variety 5 was only minted in 1873 and 1874, then the increased weight was used and the design was back to variety 4 (no arrows) from 1875 until 1891 when the end of Liberty Seated Dimes ended.
Disagree on VF details. F details possibly. $10 is in the ballpark. A damaged coin is always going to be damaged and a problem.