Python 2, 320 318 314 311 307 bytes
Input Format - List of Strings. Full program:
i=input()
t=[x.split()for x in"Lo Um On Ee Pal Mon|Ya Vi Oh Ful Des Zo|Ven Ew Kath Ir Bro Gor|Ku Ros Dain Neta Ra Sar".split('|')]
c=t[0].index(i[0])+1;r=c+1;s=c+r*(t[1].index(i[1])+2)/2
if len(i)>2:s+=r*(t[2].index(i[2])+4-(i[2]=='Bro'))/2
if len(i)>3:s+=r*(t[3].index(i[3])+1+(i[3]in'KuRaSar'))/2
print(s)