As well as the injuries and police prosecutions involved, the total number of incidents linked to one bar was a concern, Sgt Paulin said.
''That's why we have requested a hearing,'' he said.
Mr Hannagan was reluctant to comment ahead of next week's hearing, but defended the bar.
''To me, it comes down to personal accountability of some of these incidents from the kids that have been involved. But by default, you're dragged into it because you have the premises.''
He insisted there was ''no risk'' of the bar closing.
''We'll reach an agreeable compromise.''
Sgt Paulin said in one incident a heavy glass ashtray was used as a weapon, and in another, an ''intoxicated'' man attacked police in the upper Octagon.
''The person was allowed to get intoxicated on the premises,'' he said.
A third ''pretty horrific'' incident inside the bar was captured on camera, and the footage could be played at next week's hearing, Sgt Paulin said.
He had no concerns about the suitability of Mr Hannagan - who also co-owns Bacchus Wine Bar and Restaurant - as an applicant.
However, Mr Hannagan appeared to take a hands-off approach to Pop Bar, which had a late-night reputation that attracted ''an interesting melting pot'' of people, Sgt Paulin said.
''If you have got that sort of clientele, you have to manage them that much better.''
Earlier this year, the licence for Carousel bar, in lower Stuart St, also ran into police opposition, amid concerns about operator John Devereux's response to overcrowding and an assault on the premises.
Mr Devereux was granted a reprieve following a hearing and given 90 days to investigate options to increase the bar's capacity.