Arwen happily hugged the Time Lord that decided to come with on the Ferris Wheel. "Yay! Thank you!." Jack glanced to the two and noticed something he hadn't seen in the few years he knew Arwen. Jack noticed that Arwen was exceptionally hyper and happy around the Doctor. That for some reason he just made her happy. Jack wasn't arguing but just something that he was happy to see his young friend happy. 
The Immortal guided the two out of the mall and to the SUV that was parked. Arwen got in back and Jack in the driver seat. When the Doctor gets in and buckled, Jack starts the car and heads for the Ferris Wheel in London.