Well done. Here's my tips.
135
他の藤波 -->
池の藤波
136
You missed the meaning of やらじとや, i.e., やらないために.
140
As you might know, あしひきの is the
枕詞 for 山 and doesn't have any meanings. The auther wasn't in a mountain at that time.
142
こずる --> こず
ゑ （梢）
143
ぬしさだまらね --> ぬしさだまら
ぬ
ぬしさだまらぬ恋せらる more likely means "I have a feeling of love with someone, who is not a specific person".
あぢきなく means "somehow" here.
145
～な･･･そ is a structure for "prohibition".
声なきかせそ: Don't sing to me.
146
さへ "Even" suggests that the author might not be able to go back to the hometown and meet the people never again.
147
思ふのから --> 思ふ
ものから
148
韓紅 -->
唐紅
唐紅のふり出でてぞ鳴く expresses the cuckoo sings like dyeing cloth red. It's not about their tongue color.
150
昔をのみぞ鳴く -->
音をのみぞ鳴く
Again, あしひきの is a 枕詞.
たれかまさる is not 誰が勝る. That's 誰にも負けない.