If you want to calibrate your Sony, you can start by using a calibration disk to perform some basic calibration, like checking your black levels (to have proper near black details visible) and your near white (not have any strange color shade and not clipping), check if your colors are not clipping using a color clipping pattern, see by looking a grayscale ramp what color temp mode of the Sony looks like it has more neutral gradation when you evaluate by looking a grayscale ramp etc.
Here are some images I designed to showcase what you are checking when are you looking to some basic patterns using an RGB Cube Space presentation. While the examples saying Ted's disk, they are doing the same kind of verification when you are using similar pattern from other disks also.
Using the Contrast Flashing Bars Pattern, you are checking this area:
Using the Advanced Contrast Flashing Bars Pattern, you are checking additionally the RGBCMY also:
When you are setting your Contrast, you can see why you need to leave 'headroom' there
, with some picture examples of 'out of video legal range values' using 'Mission Impossible - Fallout Blu-Ray' movie as example there
, (not clip to 235 aka 100% Reference White).
Using the 7-Color Clipping Bars Pattern to prevent clipping of each color channel (WRGBCMY), this sometimes can be fixed be removing some additionally clicks from the contrast control also, you are checking these areas:
Brightness patterns also:
The next step is to use a colorimeter and a software, to try to calibrate your Sony using the available calibration controls for RGB balance you have available and see what you can do with color/tint controls to reduce the color gamut errors, after the end of your grayscale calibration.
You will need to spend some time reading and practicing, but the links at the bottom of that post will be helpful: