u/Lopsided-Fix2

Hello, we will be flying out of Gatwick but have 2 days to make our way up to London. Ive gathered the best way is the train from the airport up. The first day we plan to leave at 12pm up and go to the Buckingham and then walk around some before returning. Second day is visiting Tower of London and an Arsenal tour. Would we have more time to squeeze anything in or would Buckingham be boring? 2 adults and 2 teen boys that love futbol. Plan is to pay tap at trains and get the youngest a child discount card.