Double Eagle 1898 And 1904 - Worth Grading?

1904: AU-55
1898: MS-61 maybe 62 but probably no higher.

It's interesting the 1904-S reverse looks almost MS but the obverse is AU at best. Does it appear metal was removed from the cheek area? Are the rims fully reeded and intact? I'd bet the 1904 will get a details grade but might grade AU53 or so.

The 1898-S does look better and possibly MS. Is there some contamination on the left wing (reverse side)? When I've owned raw pieces like these I weigh them and confirm the diameter and thickness. Your coins look fine to me. My biggest concern is the 1904s cheek that appears "shaved" in the image. Slabbing is completely your call and only worthwhile financially if they are problem-free, Mint State coins.

My thinking is an old/new die pairing - there's evidence on the obverse of poor strike in addition to slight wear. Looking at the reverse, it's technically a coin of far higher grade than the obverse indicates. And you have to think seriously about that, because coins don't wear on only one side. Judging from details on the cheek and neck, it looks like the coin sustained a postmint hit from something knurled (may be bag marks but the lower detail doesn't look like a reeding "slide"); as soft as gold is, that hit could have wiped detail off the obverse without much damaging the reverse.