Rickets is a Vitamin D deficiency. I think you may be thinking of scurvy, a Vitamin C deficiency. If you are taking good supplements you should be fine. If you are taking something like Centrum, though, you should probably be taking two of them. They are not very strong.

If you are eating a wide variety of veggies, that should cover all the bases. After induction fruit can be added in moderation:

Lower carb fruits:

Strawberries
Blueberries
blackberreis
raspberries
cantaloupe
watermelon
1/2 grapefruit
lemon juice
lime juice