Just realized that was pretty complicated, here's an easier breakdown for anyone that can help:
Option 1(Economy):
RDU-HAN:
UA4907
UA118
TG921
TG560
HAN-ATH:
TG565
TG970
LX1830
ATH-RDU:
TK1848
UA905
UA1570
Option 2 (Business Class):
RDU-HAN:
UA3466
UA881
TG560
HAN-ATH:
TG565
TG940
LX1613
LX1838
ATH-RDU:
LH1755
UA903
UA933