"What is the best glue for repairs?"
It depends on the nature of the piece and the damage.
Most of us, it's safe to say, use either a fast-curing cyano-acrylate glue, also known as CA glue, or "super glue", or a 2-part epoxy.
CA glue cures quickly, from instantly to seconds, depending on the formula. 2-part epoxies take longer to cure, depending on the formula, from 5 minutes to 15.
Whatever the repair, you want to consider not just the glue, but whether you need to take steps to repair the join and prevent future breaks. Most frequently, that means adding a pin of some kind to the area to be fixed, to strengthen it. After all, it was weak to begin with. In your case, with the spear points, you might want to use a pin vise and a fine drill bit to drill a hole in the spear shaft and spearhead, and insert a piece of fine wire as a pin, then flow some CA glue into the repair. Pinning the join in this way makes the join stronger--the pin protects against shear forces that would tend to break the glue bond, locking the piece in place, as opposed to a simple butt join of two flat faces. You could also use a 2-part epoxy for this repair. It will take a few minutes to cure, but you can adjust the piece while the glue sets.
I have also read that in terms of longevity, 2-part epoxies hold longer than CA glues, but we're talking in terms of years, and I haven't set up an experiment myself, to see if that assertion tests out.
Personally, for spears, if I can replace the spear with one made of brass rod with a shaped head, I do, because that's stronger than a cast white metal spear.
I'm sure the other builders here will have good advice to offer you and will be able to correct anything I've said that they found not to work.
Prost!
Brad