I'm not deeply entrentched in Constantine lore so I likely not as critical overall on this show. As someone who likes X-Files, Buffy, True Blood etc this show appeals to me enough.
I noticed Zed was absent, now I know why but to me she is just the replacement "required" female co-lead now that Liv is gone. Not sure Zed is actually needed that much(the Crusade thing aside I just read upthread), not sure how much Liv would be either(she's also a comic character, yes?).
I did do a Wiki on the sword Chaz picked up, felt that like Dr.Fate's helmet that wasn't random.
I did pick up on random Halloween episode being the first week of December as odd. As well as some line he uttered about "6months in the asylum and I'm a rank amateur again"[paraphrase]. That line was out of place 7 episodes in I felt and I know why now...this should've been episode 2.
All in all I'm enjoying the show. Going to sit back and enjoy the run and hope for the best regarding as season 2.