"There is something there" is not exactly comforting...
From
this navsource photo (from October 1944...), you can see a small surface search radar mounted in that spot. It's very likely to be the Mk.27 radar (a range-only search set used in lieu of a spotting glass for main battery gunfire direction). The Mk.27 radar is a relatively "late war" item so I highly doubt it was present on this ship in 1942. The small "dot" immediately ahead of it is likely a range or masthead light. It's definitely not an SG radar, and anyway you are using an older version of the SG set with an antenna which is far too wide. See the link in my signature for the correctly-scaled version.
This page lists the air search radars for BB-45 in 1942 as "SC, SRa / SRa". I see no mention of CXAM as you have drawn...
The small radar above the forward spotting top is a Mk.3 Mod.2 fire control radar (BuOrd designation FC). Find it on the sheet linked in my signature. The spotting tops were the equivalents of the large Mk.38 directors on the fast battleships, hence the presence of a fire control radar like FC.
You will need to replace the late-war "square" life rafts with the early rounded ones... check my signature link as always for that. Also replace the old OS2U Kingfisher with the latest one.
What are the "U" shaped things in tubs abeam the aft funnel? Are those supposed to be Mk.51 gun directors? I have the same question about the small circular item in the tub (I assume) aft of the pilot house. I would think that's a compass - do you know what it is, or have you just traced a plan and assumed no one would notice?
I would agree that there's not much material available for this ship during 1942. This is the only photo I can find:
http://www.navsource.org/archives/01/014551.jpg
This is where I would look to our esteemed colleague colombamike for assistance. If you have not already PMed him I suggest you do so.
I would much prefer that you spend more time correcting and perfecting each drawing before just jumping onto the next thing. You have made many errors and glossed over a lot of important areas when these ships deserve a much more detailed approach.