I suggest providing 2 shapes of the logo. A banner for the top of your webpage (same shape as the hat), and a portrait shape, for inclusion in other people’s web sites. There are some standard sizes for images that you should consider, but I can’t remember what they are.

I like the concept of the Bow best, but suggest dropping the UK flag from it (a simple logo is often better), and sharpening the colours – in particular using the usual red from prior ribbons.

The target is also good, and you might want to use the target for the banner version of the logo. You might want to consider switching the green for the ribbon red, and I’d be inclined to not alter the ribbon (into a shape of an arrow) but rather use it as an underline of the text.

The hat also deserves mention, which I like as well.