No, just one queue. But in part 2, waiting for calling the names to verify the doc., there seems some ppl have to wait for quite a long time. For me, the 1st part wait for ~45mins. then for the 2nd, just around 30mins.
Two years ago when my son apply was the same, is no big deal. Even DBS is the same long wait, so I think you may need to get use to it. All the famous school 's are like that coz too many apply.