Hi. Congrats on having both of your children home. I am a single mom of two and I can totally relate on the not sleeping issue. I totally feel for you.
Go to
Home - Center for Adoption Medicine. These two great docs are in Seattle. Dr. Davies is who my DD used to see and who my DS sees now. Dr. Davies is the keeper of the website and you may want to start out by asking your questions online and Dr. Davies is the one that will answer them. When I first brought home my daughter 3.5 yrs ago I did not having blood tests, etc. done right away. I waited. But looking back I wish I hadn't waited because of what we found out. I ended up not liking the doc and dermatologist I originally took my DD too so like a year after coming home we went to see Dr. Davies and had all the testing done. Found out she was severally anemic and he was very helpful in helping us relieve her constant constipation, etc.
Maybe ask your question online or call the phone # they give you for the phone consults. Everyone you speak with will be very nice.
I should think you should be able to take the list of tests the other forum member gave you to your peditrician and tell him these are the tests you need to have done on your kids. It took some trial and error to find the docs and specialists that are currently working with my daughter and I know they have her best interest at heart and know what they are doing. Not everyone I took her to did.
Good luck.