I wouldn't be concerned - I'd be delighted! Virtually non-diabetic levels evern after eating. The low 3's are a tad low, but according to what medication you're on and wehat lifestyle you lead, it's not neccesarily a problem. If you were on insulin, you'd be concerned about poptential hypos with the 3.4 and 3.6, and if you're on certain oral drugs you could have a potrntially similar concern; if you're just on metformin you don't run the same risk of dangerous hypos so I wouldn't be concerned with them. We need a bit more info to be more helpful to you.
The readings in the 3's were before meals; were they after a fair amount of exercise since the previous meal?
Again, what meds do you take?
How long since your diagnosis? If you've lost a lot of weight since then, you could have improved your sensitivity to insulin so with a sensible diet, you may be able to reduce any meds you are on.
let us know, and we may be able to clarify things more. Meanwhile, unless you're having physical symptons that worry you, just enjoy!