Hi there, (((hugs))) for the long NWs, those are never fun. I notice a few things that could be contributing. First, her day is really quite long at 13.5-14hr with only 2-2.5hr day sleep. I'm betting she's OT when she goes to bed at night and that's causing/contributing to the NWs. Is there a reason that her first A time is about 4hr? That's a bit long for 8.5 mo and with a nap that's not full afterward, it might be setting her up for OT through the next A time. I wonder if you were able to pull it back to 3.5hr, she might do a longer nap. Her last A time before bed is also quite long at 4/4.5hr, again after a nap that's not quite full. That is definitely contributing to some OT and likely the NWs. Ideally at her age, you'd like 2.5-3hr of day sleep with 11-12hr night sleep (or a 12-13hr day). So, if you can't or don't want to change the naps around, I think it would help to pull bedtime back to 7/7:30pm (latest, meaning sleeping by that time).
Next, I think at 8.5 mo you want to start limiting the patting you do when putting her down. I wouldn't change it now, I would work on the routine first. But, once you get that settled, I'd start patting her less and less, using your voice and then slowly making your way out of the room (a kind of gradual withdrawal), so that she's going down more independently. This may not be a main cause of the NW, but I notice that you use it at other times to get her back quickly, and while that's great, you want to try to keep the patting from becoming a prop, iykwim.
Finally, the DF is happening a bit late. Tracy recommended for it to be done between 10-11pm, so as not to disturb a LOs sleep. At 11:30pm (and no matter what time for some babies), the DF is likely disrupting her sleep cycles and causing her to wake more frequently at night. Besides the time frame of 10-11pm, it's usually best done around 3-4 hr from bedtime feed. If you bring bedtime back to 7/7:30pm, a DF between 10-11 would be right in line with that. And while you don't need to necessarily offer solids for breakfast yet, it might not be a bad idea and could even help lengthen an ensure she's not waking from that first nap hungry.