Use this skybox -
sky_cs15_daylight01_hdr
Try these light_environment settings -
Brightness - 251 231 189 400
Ambient -
193 209 213 200
BrightnessScaleHDR - 1.2
AmbientScaleHDR - 1.2
Sun Spread Angle - 2
Recompile your map and let us know how it looks.
This is what I used for my cs_mansion remake, but I see that you did more progress than I, so I scrapped that project.
It should make your lighting look better and a bit brighter. It would also set a happy mood and not the sad mood that you have right now (it feels bland, in short).