About the rebellion that occurred when the Liao Kingdom occupied the territory occupied by the Song Dynasty?

No, when the Song Dynasty finally unified the Central Plains, the Sixteenth Prefecture of Youyun had been ceded to the Liao Kingdom for 40 years. When this land was ceded, the Northern Song Dynasty had not yet been established. The people of Youyun already considered themselves subjects of the Liao Kingdom and had no feelings for the Northern Song Dynasty. During these 40 years, a large number of Khitan people immigrated to the Youyun Sixteen Prefectures and mixed with the Han people. Moreover, the Liao State did not have as many exorbitant taxes and miscellaneous taxes as the Song Dynasty, and the people's lives were relatively prosperous. Therefore, the people of the Youyun Sixteen Prefectures had no intention of resisting the Liao State. On the contrary, many Han people from the area became officials in the Liao court and gained important positions.