Is there something wrong with enchanting things on your own now? I don't recall from my Xbox days with Morrowind years ago there ever being an issue with self-enchanting, though this might have something to do with trying to put a constant effect on the amulet (yes I used a golden saint in a grand soul gem).
What is the deal here? Even at level 30 my marksman skill still works much of the time. Still would not work (the console command worked but my character's success rate didn't). Then I got curious and tried using a console command to raise my character's enchant level to 100. Over and over again, Still would not work.
So I trained my character's enchant level all the way up to 50 at Tyermaillin's house in Balmora inbetween doing Redoran faction quests and then tried enchanting an exquisite white amulet. I got rather annoyed and frustrated trying over and over again to enchant my own items because enchanters are way too expensive for their own good, even those who are a member of your own faction.