Darth Jello
Cheese Spelunker
The issue I was thinking of was either Identity Disc 2 or 3. And actually, Bullseye's strength is reinforced by his adamantium skeleton and his strength, speed and agility were given slight boosts via mysticism when Darkwind healed his spine waaaay back in DD 197 or 198. You know, I would say jumping out of a fourth story window through the roof of a car and being relatively unhurt is a superhuman feat.
As for the stuff he typically has on him (at least in his Bullseye costume)-
Marbles, playing cards, Sai, at least one hand gun, his dental implants, his natural teeth, his costume (which is reinforced with kevlar), kunai daggers, shaken/throwing stars, tooth picks, butterfly knives, rope, any fecal matter he can produce, an rocks or pebbles that are beneath his feet, any stray bullets he might have, his pain medication (for possible residual pain from his brain tumor), any bullets he may have, his belt, his holster, host boots, his gloves...etc.
Like I said, ANYTHING in his hands is a deadly weapon.