Those blemishes will not harm the bow. They're only superficial discolorations, not physical damage.
Looks like a fine bow to me! But I must say that wouldn't call this a "longbow". A typical longbow does not have a shelf (shelves), no thickened, stiff handle, and more bending past midlimb. But no matter what name you give the bow, it still looks good

What woods are the tip overlays made of? Or: is it wood at all?