I don't think you did anything wrong. Seems like Spectro might not display some details of the spectrogram compared to Spek. I'm not well informed about these software, so I'm not entirely sure.
02:06:500 - there is actually a piano sound here which was what i was originally following, but i think having two sliders instead might be better as you suggested
decided on making these 4 note parts where the vocals are strictly increasing in pitch, such as 01:26:470 - 02:56:108 - etc, to be linear patterns that are gradually increasing in spacing