上げる => to finish doing ~ N3
[上「あ」]げる => Just finished/completed A N3
Time, Situation
切る => Give up, stop... N3
Happens next
切る/切れる/切れない => to do something completely to the end/unable to do; too much to finish/complete N3
あげる => ...Up (Upwards) N4
Direction
~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1
させてあげる => (Allow) N4
Allow
てあげる => Help, do for N4
Give and take advice
てさしあげる => Do for N4
Give and take advice
の上で(は)/~上 => according to; from the viewpoint of ~ N2
上 => In terms of... N1
Position, perspective
てあげる => to do for; to do a favor N5