Gotcha. If you're really interested in going to an EPL match, my personal advice would be this. Wembley is pretty far out from the main part of London, and with Spurs still kind of wandering the desert waiting on their new ground to be completed, I'd be surprised if the stadium was even 3/4 full for that game. While that will make tickets pretty easy to come by, it also means it won't be particularly reflective of a true Premier League atmosphere.
To me, you'd be better off going to the Fulham game against Huddersfield that day. Tickets can still be had, but both teams are struggling this year and will come into the game desperately needing points. Also, Craven Cottage is what the locals would refer to as a "proper" old English ground, and is right on the river, so it's got a little bit of a UT parallel going for it. So, if I were you, I'd catch that game at 3:00, maybe eat walk back to Fisher's on Fulham High Street for some fish and chips (might want to call ahead and make a reservation because seating is pretty limited), and then across Putney Bridge and hop on your river cruise.
Unless of course you're actually a Spurs fan and really want to see them. In which case, just ignore everything I just suggested and go watch your team.