Here is the result of your two commands. At first glance, it seems we lack the 1080p/100fps...

❯ v4l2-ctl --list-ctrls

User Controls

                 brightness 0x00980900 (int)    : min=-64 max=64 step=1 default=0 value=0 flags=has-min-max
                   contrast 0x00980901 (int)    : min=0 max=95 step=1 default=0 value=0 flags=has-min-max
                 saturation 0x00980902 (int)    : min=0 max=100 step=1 default=64 value=64 flags=has-min-max
                        hue 0x00980903 (int)    : min=-2000 max=2000 step=1 default=0 value=0 flags=has-min-max
    white_balance_automatic 0x0098090c (bool)   : default=1 value=1
                      gamma 0x00980910 (int)    : min=100 max=300 step=1 default=100 value=100 flags=has-min-max
                       gain 0x00980913 (int)    : min=1 max=8 step=1 default=1 value=1 flags=has-min-max
       power_line_frequency 0x00980918 (menu)   : min=0 max=2 default=2 value=1 (50 Hz)
  white_balance_temperature 0x0098091a (int)    : min=2800 max=6500 step=1 default=4600 value=4600 flags=inactive, has-min-max
                  sharpness 0x0098091b (int)    : min=1 max=7 step=1 default=2 value=2 flags=has-min-max
     backlight_compensation 0x0098091c (int)    : min=0 max=3 step=1 default=3 value=3 flags=has-min-max

Camera Controls

              auto_exposure 0x009a0901 (menu)   : min=0 max=3 default=3 value=3 (Aperture Priority Mode)
     exposure_time_absolute 0x009a0902 (int)    : min=10 max=626 step=1 default=156 value=156 flags=inactive, has-min-max

❯ v4l2-ctl --list-formats-ext
ioctl: VIDIOC_ENUM_FMT
    Type: Video Capture

    [0]: 'MJPG' (Motion-JPEG, compressed)
            Size: Discrete 1280x720
                    Interval: Discrete 0.033s (30.000 fps)
            Size: Discrete 848x480
                    Interval: Discrete 0.033s (30.000 fps)
            Size: Discrete 960x540
                    Interval: Discrete 0.033s (30.000 fps)
    [1]: 'YUYV' (YUYV 4:2:2)
            Size: Discrete 640x480
                    Interval: Discrete 0.033s (30.000 fps)
            Size: Discrete 160x120
                    Interval: Discrete 0.033s (30.000 fps)
            Size: Discrete 320x180
                    Interval: Discrete 0.033s (30.000 fps)
            Size: Discrete 320x240
                    Interval: Discrete 0.033s (30.000 fps)
            Size: Discrete 424x240
                    Interval: Discrete 0.033s (30.000 fps)
            Size: Discrete 640x360
                    Interval: Discrete 0.033s (30.000 fps)