Get thee to another doctor pronto! Any doctor who sends someone home with 600 BG doesn't have a clue.
Some of the symptoms you describe could be DKA & I'd go to an ER right way. This usually doesn't happen at 180 BG (or you're higher at other times & don't know it), but there could be something else going on.
If you have to wait too long for an appt with an endo, at least go to another internist or GP until then.
Insist that C-peptide test (measures how much insulin your pancreas is producing) & GAD antibody test (measures how much your pancreas is under attack) be done to get an accurate diagnosis so you can get proper treatment. Of coure, a full blood panel should be done. Important to get your thyroid levels checked also. Many women have undiagnosed thyroid issues & many diabetics have thyroid problems.
Trying not to scare you, so please forgive me, but shortness of breath, weakness, heaviness in your chest & swollen ankles could possibly be heart problems, electrolyte imbalances from the vomiting & diarrhea, or any number of things. This needs immediate attention.