Wow...ok, let's take this on one step at a time.
USS Alabama wore two schemes, a Measure 12 Revised, and Measure 22. I will explain both, but the Hasegawa kit depicts the ship in 1944, long after she'd painted out of the Measure 12R scheme. In other words, the box art is WRONG WRONG WRONG.
Measure 12R is what you see on the box, a splotch pattern using 5-N Navy Blue and 5-O Ocean gray on the hull, and 5-O Ocean Gray and 5-H Haze Gray on the upperworks. But toss that scheme.
Alabama wore Measure 22...and here's how you do it...starting at the stern, draw a line that's parallel to the waterline towards the bow. Paint the lower hull 5-N Navy Blue, and everything above that 5-H Haze Gray, including the superstructure.
Your deck is not wood colored, but is painted 20-B Deck Blue. This also includes turret tops, and decks levels on the superstructure as well. Basically, when you look straight down on the ship from above, you shouldn't be able to see the light gray.
The barrels on the main guns varied from ship to ship, some were all Deck Blue, some were bottom half Haze Gray, upper half Deck Blue, with a metallic gray band at the base where the blast bags are. Some were overall Haze Gray, which is the way she appeared after her 45 refit. Splinter shields, 40mm guns, life boats, basically everything, should be painted whatever color the background is. 20mm barrels are gun metal or black, as are the recoil springs on the 40mm Bofors. Radar, antennas, cranes, are all Haze Gray.
Anchor chains are generally dark gray, black, or deck blue. That varies from ship to ship.
Here's some photos to help you out.
Hope this helps, let me know if you have any other questions.
Jeff