Flyingwhiteknight, I hope all is well after your diagnosis. Not the easiest thing to come to terms with...
I have a Class 1 medical with T1D and so I'm not 100% sure if the requirements are the same but I'll pass on what I had to submit anyway - it pretty much ties in with what you've written.
A report by my treating consultant. Written as per the diabetes report specification found on the CAA medical website.
90 days worth of blood glucose monitoring (3-4 times a day)
Blood Tests - HbA1c, Liver and Renal Function (eGFR & ACR), Lipids
Complications - retinopathy report, neuropathy report, nephropathy report, stress ECG
Completed medical flight test report signed by CFI or TRE
All this was submitted to the CAA and within 2 days, I was invited to attend a consultation with the consultant running the diabetes protocol with the CAA. A couple of weeks later, my Class 1 was in the post.
Currently, I'm restricted to G,EI and OE registered aircraft. You can fly on the Class 3 medical in the US but not sure if the Class 2 will 'piggy back' across.