You should at least have mentioned that you quoted some parts of lyrics from two different songs and provided us the entire lyrics. I thought, for instance, 儚き愛しき人微笑み浮かべて was directly connected to 憂いて鼓(つつみ)打たぬ since I didn't know you skipped two lines between them, which doesn't make much sense.
Firstly, as for ひとしずく;
ひとひら is singular.
その間に can be used for "spatial", not only "temporal".
はらはらと頬つたう哀しみを神々の酒となす modifies 涙壺. That's a noun phrase, not a sentence.
打たぬ is negative.
その胸 doesn't refer to "my chest".
(FYI, くちびる濡らす modifies 一滴, and 一滴 is the subject of 沈みゆく.)