I wouldn't necessarily break down 'love' into Lewis's categories, but I agree. The fact Harry loves and is loved by so many people* in so many ways, and the fact these people are also loving and loved, gives them the ability to work together to help defeat Voldemort. Harry may have been the point, but he had everyone behind him and providing support -- both physical and emotional.
One thing you didn't mention is the Malfoys. One of the things that saves Harry's butt is that he is able to see that, no matter what he thinks of them as people, they love one another as a family. So, when he tells Narcissa that Draco is alive, safe and out of the way, that causes her to both repay him and decide that her family is better off with Voldemort gone, and say that Harry is dead when he's not. It's not Harry's ability to feel love, but his ability to understand it, and the Malfoys' ability to feel it, that helps him there.
* Sirius, the Weasleys, Dumbledore, McGonagall, Ron, Hermione, Ginny, Neville, Luna, the DA, the Order... |