Sol75,
Historical paint job would depend on the model of F4U and when it saw service.
F4U-1 Birdcage
From introduction to combat (Feb 1943) through about mid-1943 would be non-specular blue-gray on the top surfaces, sides, and the underside of the outer wing panels (tip, to about the line of the wing-fold) with non-specular light-gray underneath.
From Mid-1943, new aircraft would be in tricolor: Non-specular sea blue upper surfaces; intermediate blue vertical stabilizer, sides, and underside of the outer wing panels; insignia white underneath. Aircraft already in the combat zone often retained the blue-gray/light-gray paint job due to the necessities of the barely-existent supply chains (leading to often very patch-work paint schemes due to touching up with whatever is available. Check out the "Marines Dream" skin in the game for an example).
F4U-1A
F4U-1As generally carried the tricolor pattern just as in the later -1 Birdcages. From late-1944 until the end of the war, any 1As in service were generally painted overall semi-gloss sea blue. I've seen a handful of photos or schemes of 1As in this color.
F4U-1D/C and -4
F4U-1Ds/Cs and -4s all entered service in either 1944 (1D) or 1945 (1C and 4) so were all painted overall semi-gloss sea blue.
As far as markings, red was not commonly used in USN/MC aircraft. I know that Bob Galer's F4F at Guadalcanal had a red cowl lip and fuselage band, but can't think of any F4Us that carried red markings. There IS the precedent of Galer's Wildcat, so it's possible a handful might have used red to some degree. White trim was far more common in Marine aircraft, especially the cowl lip, parts of the vertical stabilizer and at times the fuselage end cap and horizontal stabs, but I'm not familiar of any WWII-era Corsairs that had the entire cowl painted white. At least one Marine squadron used a white-and-sea blue checkerboard pattern covering the cowl and vertical stab. The squadron the majority of the markings on your model came from (VF-84) had a yellow cowl lip.