[後「あと」]で => After V1, V2 N5
Time
へ => Go to N, head to N , Often followed by verbs like 行く/いく, 来る/くる, 向かう/むかう… N5
Particles
を[経「へ」]て => After A N1
Time, Situation
たが[最後「さいご」] => Once A occurs, B happens N1
Information, Report
ところを/ところに/ところへ => At time/situation A N2
Information, Report
ておく => Do something N4
Secondary Verb
にいく => Go somewhere N4
Secondary Verb
に[比「くら」]べて/に[比「くら」]べ => When compared to A N3
Comparison, Exchange
[頂「いただ」]く => Received N4
Give and take advice
てくる => To come, to continue N4
Secondary Verb
くせして => Even though A N2
Contrast,Surprise
~てください => Please do ~ N5
Asking and Telling