しぶっていた (from 渋る) means 'was reluctant, was hesitating/unwilling,' so なかなか返事をしようとしなかった (was reluctant to reply / wouldn't easily give a reply) is the closest paraphrase.
2返事するのをすっかり忘れていた means 'completely forgot to reply,' which is about forgetting, not reluctance.
3返事が来るのをいつまでも待っていた means 'kept waiting forever for a reply to come,' reversing the role (the 部長 is the one who should reply, not wait).
4早く返事が欲しいと何度も要求した means 'repeatedly demanded a quick reply,' which is the opposite of being reluctant to reply.
しぶっていた — was reluctant, was unwilling, was hesitating (from 渋る)
返事 — reply, response
2.交錯
1これからの人生を考えると、様々な思いが交錯し、昨夜は朝まで眠れなかった。
2運搬中に箱が落下して中身が散乱し、分けてあった商品が交錯してしまった。
3この道は100メートル先で大きな道路と交錯するので、そこを左折してください。
4この集まりでは様々な年代の人と交錯するので、見聞を広める良い機会だい。
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Answer: 1. これからの人生を考えると、様々な思いが交錯し、昨夜は朝まで眠れなかった。
交錯 (こうさく) means to intersect, cross, or crisscross—used for abstract things like thoughts, feelings, or emotions crossing/mixing with each other. Option 1 describes various thoughts 交錯 (crossing/intertwining) when thinking about the future, keeping the person awake—this is the correct usage.
2Items getting mixed up after a box falls is 混ざる (まざる) or 混乱(こんらん)する. 交錯 is for abstract things crossing, not physical objects getting jumbled.
3Two roads meeting/intersecting is 交差(こうさ)する. 交錯 is used for abstract crossing (thoughts/feelings), while 交差 is for physical intersections like roads.
4Interacting with people of various ages is 交流(こうりゅう)する or 触れ合う. 交錯 does not mean social interaction or mingling.
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