My last 2 clues, intercrossed, so scope for error!
13ac)Chambers I explore,keen to be right with plurals when advanced Latin forgotten(9)
-P--UN-ER
5d)Doubts about one Indo-Chinese person's formal complaints.(11)
QU-R-MOS-ES
I can see 'query' in the second one, but I just can't work it out...