I do not know. It seems that you know more about this subject than I do. What do you think about the Graphite Coated with Tantalum?
No. Polonium-210 emits alpha particles during its radioactive decay, which interact with the Beryllium to produce neutrons. The neutrons can be used for several different purposes, not just in nuclear weapons.
If this was a Po-Be source and it was over ten years old, it would be virtually useless. Polonium-210 has a half-life of 140 days, and after five half-lives, any source of radioactivity is basically inert (it doesn't make sense that this would be a "P-Be" source, since "P" is the designation for Phosphorus).