In generel you could say: long E middle strokes -> no no.
With the Day Date I don't see issues, it is very common with gold watches that their engravings wear out, especially with the Day Dates since a lot of
them were/are worn with a leather strap with rubs between the lugs. On these watches some watchmakers try to reengrave by hand which looks a
bit sloppy, but I've seen that very often.
The Explorer is absolutely fine, dial and movement are period correct, engraving is correct for 3.5mil. Only thing; I don't think that 7836 came with
the watch.