The second, majorer problem is the concept that she wouldn't already have seen his "website page" and they would have already had the fight about how he doesn't have one because he is a teacher and then probably he would make one and his codename would be Seymour Glass and she would be his only friendster on the Facebook because that is how they roll. It's not like she just heard of Facebook, or in this case "website pages"; not even Aria is that disingenuous/pretentious that she would avoid Facebook. I mean, she would say "I don't own a TV" for sure, but she isn't old enough to have that "I don't Facebook" disease the older versions of her particular type of douchebag can have.
And then the third problem is the scheme itself, which is where they pretend to be an alumna from the school where Ezra and this gelato-sucking whore went to school and then, I don't know what. Befriendster her on the Facebook and act real sketch for no reason. Pretend to be friends, find out if polygamy is on the menu, see if she's into a threesome, get incriminating pictures of her sucking some other pedophile's gelato, who knows: Hanna is just firing blindly into the crowd this week, and only Aria seems to be confused about that.
Spencer drops by Toby's house to make sure they are still in love, and they are. Of course he did not assume that she planted the sweater in his stuff after she killed her own best friend, because that's the kind of fevered paranoid thinking that only Spencer indulges. They decide to meet up at the Funhouse at the Festival, because it is a metaphor.
As Spencer is leaving Toby's house of horrors -- Jenna's all, "Toby, stop fixing your bike and being in love and drive me someplace so I can do dark magicks and whatnot" -- that cop who's suddenly everywhere is suddenly everywhere. Garrett's position is that he is on Spencer's side but that he is in uniform and thus has to do his job.
Spencer, awesomely: "Well, if you put on a pair of jeans this would be called stalking."
Garrett, also fairly awesomely: "Look. If being trailed is gonna help clear your name, better it's me than someone who thinks you're guilty."