Can I have a healthy baby if I am hypoglycemic?

If you keep fit. It would be good for you to discuss your hopes with an OB and/or high risk OB specialist. In pregnancy, the normal development of the fetus requires a continuous transfer of nutrients like glucose thru the placenta. The fetus generally will have a glucose level 2/3 of your level at any point in time, so your spells could cause problems for baby. Your healt team can give you specific guidence.
Yes. Yes you can, just need to eat healthy during pregnancy and watch your blood sugars.
Depends. On whether you are actually hypoglycemic. If you are diabetic than make sure your bss are well controlled before you attempt pregnancy.