Fate should be there if you completely exit the game and log back in, this is what I have found and I see plenty of others saying the same in chat. Give it a go and see if it works.

Crafting still a little glitchy at times it seems. Had some armour in my queue and just happened to pop open the window as the timer was expiring, so I saw it tick from 4 seconds to finished, but then it went poof. Couldn't claim it. Jumped  to another character and back, and still not there. Closed the game and restarted completely, and still not showing up. And I had successfully crafted other gear yesterday, which I was able to claim after returning from a mission while it crafted.

Regarding 1., it's a bit tricky at the moment

Once you press "craft", you wont really see the item being crafted. However, if you logoff/login back after the crafting expected time, your item will appear as being produced.

Beware tho, you have to completely shut the game in order to login back. Going back to the menu only wont do anything.

Thank you for your report! Added to our notes!