Ubaydullah bin 'Abdullah bin 'Utba عبيد الله بن عبد الله بن عتبة بن مسعود · The Book of Hajj

"The Messenger of Allah enter Ihram for 'Umrah and his companions enter Ihrahm for Hajj. He told those who did not have a Hadi with them to exit Ihram. Among those who did not have a Hadi with them was Tallah bin 'Ubaidullah and another man, so they exited Ihram."

This is 'Umrah that we have benefited from. Whoever does not have a Hadi with him, let him exit Ihram completely. Now 'Umrah is permissible during the months of Hajj."

The Prophet used to touch only the Stone and the Yemeni Corner. (Sahih) Chatper 157. Touching The Two Yemeni Corners

"He used to ride at a moderately fast pace, and when he came upon some open space he would gallop."