Here are a couple of real ones for you to make comparisons with. I'll put your photo between them so you can see the difference.
See how the base is designed to be tied onto the shaft, and note where small flakes have been chipped of the point in the manufacturing process.
These are modern reproductions, but they show how the heads are tied onto the shaft. Again, note where the flakes have been removed in the pressure flaking process of making a point. Not all points have the same shape, so I'm going to show you a couple of more. Don't necessarily look for the entire shape when looking for a point, sometimes they are broken, or parts of them are buried, look for the flake indentations, that's the give away. When you get an eye for it, they will stand out. And always, if something looks suspicious, use a stick to flick it over or pick it up and check. You will discard a lot, but you won't miss any either. Here are those photos of a couple of other styles, and a broken point.
And finally the broken one, again note the flake indentations that you don't see on your find.
