I don't think a recurve bow would be a good weapon, hard to be accurate, not good at piercing skulls and a thin arrows shaft probably wouldn't be good at destroying the brain.
I would use a silenced H&K MP5 for the primary, using 9mm ammo that is light, has low recoil, commonly found, and enough stopping power to reliably kill zombies with headshots. The slow velocity 9mm is much better silenced than high velocity armour piercing rounds such as the ones used in the mp7, p90, and assault rifles.
Same q.