Well, that looks like it turned out very well in the end, you got yourself a great meter by the looks of it, you must be thrilled!
My 7510 was out about by 200uv at 10V (not calibrated since 2017 when it left the factory, it had never even had an ACAL done !), I spent this morning improving that situation.
Something I did find was that I might have a relay playing up, as I could get slightly different voltage readings when I first power up, and if I then switch to frequency and then back to DC it is about 100 counts higher, before switching the voltage would drift a bit too, and after switch it did not, so that does lead me to suspect a relay contact is not in the best shape.. I am going to need to keep an eye on that in case that is something i need to dig into further.
I fired up my Fluke 731B reference, PDVS2mini V1, Datron 4700 calibrator, Fluke 5450 etc yesterday to give them plenty of warm up time, and spent this morning cross checking and verifying that everything made sense before adjusting the DCV mode of the 7510, part of the DC adjustment is a 10K resistor, and so I cross checked the 10.000140K in the Datron calibrator against a 10.00054K in the Fluke 5450A, and a 9.999852K standard resistor on my Advantest R6581T, again a sanity check before doing that DC adjustment, DCV and resistance is now bang on, I also briefly checked the lower voltage ranges by using my Fluke 720A to scale the 10V down to 1V, 100mV, 10mV etc and those all checked out too.
It is very easy to adjust the DMM7510 yourself if you have suitable references AND sufficient confidence in your references, I was hesitant to adjust my unit in case it was more correct than all of my other references, but after spending a few hours cross checking everything I was confident that it was in need of adjustment.
You can do the adjustment from the web interface by sending the TSP commands from there, you don't need any special software.
I also had a look at the AC mode but have not adjusted it as I can tell that my 4700 calibrator is not flat enough across the frequencies between 100Hz and 50KHz, I verified this using my Fluke 540B thermal transfer standard, that is something I should look at at some point, of course using the 540B would have allowed me to correctly level the calibrator output across the frequencies and voltages to get it correct, but it is only out by about 1mv across the entire frequency range at 10V,