This paper presents an integrated cable-driven parallel robot designed for space station servicing. All components, including winches, sensors, controllers, and others, are integrated within its envelope, greatly simplifying the installation process of the robot. However, practical application of this integrated robot necessitates a rapid self-calibration method that relies solely on internal sensors. A self-calibration method utilizing the inertial measurement unit embedded in the robot is introduced to identify external attachment point coordinates. The entire calibration process takes less than 20 minutes, and the experimental results demonstrate that the proposed self-calibration method achieves higher accuracy compared to the existing method. Furthermore, the inertial measurement unit aids in estimating the robot's pose. An error-state Kalman filter is applied to fuse the inertial measurement unit outputs with cable length measurements, providing an optimal estimation of the robot's pose and velocity. In comparison to the existing forward kinematic algorithm, the proposed method exhibits superior estimation accuracy and numerical stability. Experimental results reveal a notable 50% performance improvement over the conventional method.