When designing the system for powering my well pump, I purchased a Fluke clamp meter with "inrush current" capability. Inrush is the startup current that the motor draws just in the first 1/2 second or so that it starts. I my case, my 1hp Grunfos pump draws ~9.5amps running, and 37-38amps at startup. Note though that a regular clamp meter might briefly show a somewhat higher current draw at startup, but your typical meter does not respond fast enough to measure the real startup current. So 38A/9.5A = 4. If your pump runs on 11.2 amps, I'd suggest your startup is likely to be 44-45amps (11.2A X 4=44.8A).
Here's a second meter that's far cheaper than the Fluke that seems to work just as well.
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I'd recommend getting this one.
Now, getting back to your situation, my personal recommendation is to have enough solar power to run the pump live, without drawing from the batteries. On rotating mounts, I can expect my arrays to put out about 75% of their rated capacity more or less between 9am and 3pm. So, dividing 2575W/0.75 = 3430W of panels. If you build rotating mounts like this, you might squeeze six grid-tie panels per array, for 1500-1800W per array. Two of these arrays turned to point at the sun, and the system will work.
Now, for the inverter. You are talking about 10,400W of startup power, and I can name two different brands of inverters that can handle this kind of surge. Mine is the Schneider XW+6848. The second is Outback's Radian GS8048A. Both can handle startup surges as high as 12,000.
Of course though, some of these numbers are estimates. It's your job to get a clamp meter to actually measure your starting current, then you'll be on firm ground to actually design your system to handle your real-world numbers. Get back to us again when you have these, and then we can proceed further in your overall design.