I'm not able to do the main quest with a new character on PS4. I thought it might be cause I skipped the tutorial so I tried again and did it but The Harborage quest still didn't trigger. Was able to do it with the first character I made but no others.
I love the ps4 version of ESO and I haven't had any issues so far except for one: The interface of the loading screens / chat windows with NPC's is very sloppy!
The black bars in the chat window overlap and look super ugly compared to the PC version.
And the loading screens seem to be just too small so you can see the area loading at the edge of the screen.