welcome to BW!!! And congrats on your new bub!! Well done on starting EASY and using pat/shh - that will serve you well for a long time!! First off, let me just say that it's really hard when your lo is so little. Babies brains sort out day and night sleep differently. Night sleep comes first (0-3 mos) and day sleep later (3-6 mos), so it's really common for babies to have sleeping issues at this age.
That said, establishing a good routine and using pat/shh will certainly help. Generally, 45 min naps would indicate undertired, but she seems actually to be on the high end of A time for her age. Most bubs don't make 1.5 hrs til they are 3 mos. And it looks like first thing in the am, she was up from 5:30 - 7:45? That's really really long for a 9.5 week old. Most 2 mo are doing 1 hr 15 - 1 hr 20. So I'd try to shorten up that very first A time to just over a hour (if you can't get her right back to sleep, I'm guessing you don't really want to start your day at 5:30!), and keep the rest of them right around 1 hr 15.
Waking at 45 min also can mean that she hasn't figured out how to make it past the transition from one sleep cycle to the next. Is she swaddled? That will certainly help. Then, using w2s or some variation of it will also help. When we did w2s, we'd go in about 15 min before I thought she'd wake. Then I'd just watch to see what happened when she started to wake - I did that for the first couple days. Then I'd go in about 10 min early, watch her, and when I started to see signs that she was beginning to stir, I'd put one hand on her arms and one on her legs, to "hold" her through the jolts. If she continued to stir, I'd start shhhhhhhhhing and if she continued to stir, I'd start patting. I had success about half the time - but even with that, after 2 weeks, she was able to do it on her own. I also had my eyes closed the whole time - I didn't want to accidentally make eye contact with her. I found it actually helped me to be more in tune with what she was doing.
Hang in there!! This is a rough time, but the sleep training you do now will pay off for a long time to come!!!!
hth
michelle