First off, good work!
Secondly as the hba1c is a 3month average it may still be on the way down. So your next one may yet be lower, if this one is being pushed up by slightly higher values a couple of months ago.
Generally they do a load of tests, kidney function, various protein levels etc. Largely if they are in the target range thats good news. If they were out of range it may suggest an issue with one thing or another
The thing other then hba1c that is good to know the values of is the lipid test which is cholesterol.
I will let some one else who is well into that particular topic but to me they look pretty low which is very good.