There's a bow in 1-2, the Compound Short Bow. It's on the top of the second tower, the one that has four crossbow soldiers at the bottom before you enter it.
Also, the Spider boss in 2-1 is more difficult to beat using bows than melee, at least in my opinion. I've never had any troubles with him, just use a fire resistant shield like the Purple Flame Shield, run towards him with your shield up, stay there until he drops down, hit him, and run towards the fog gate when he charges up his AoE flame attack. Repeat until he's down.
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