Hi PENNEY . . .
First of all, I hope you mean you got rid of most of your 'starches' since you only talk about whole grains and multi-grains . . . hope you don't mean that you are not eating 'any' veggies, fruits, dairy (all of which contain good carbs).
Secondly, don't forget that 'multi-grain' does not necessarily mean 'whole-grain' . . . might still be refined flour in there . . . check those labels carefully.
Thirdly . . . the only thing I can think of to cause the sudden BGL problems is that you've made such good overall changes in your diet, your weight, your lifestyle (increased exercise, for example) that you may not need the same dose of mediction any longer. I'm not familiar with the med you are on so I can't say for sure that it could be connected. BTW . . . the reason you bounce very high after a low is probably that your liver has taken it upon itself to kick in some extra glucose to quickly raise your BGL - good old liver - problem is, it usually overcompensates and you jump too high.
Definitely suggest you contact the doctor or your Diabetes Education Centre to discuss the situation as soon as you can. In the meantime, you should be sure to carry glucose tablets with you at all times as they are definitely the fastest (and most controlled) way to treat a hypoglycemic event.
Hope you have a great day, chickie . . .