i want to lose weight healthily but my goal weight is very skinny?

i’m 5’5″ 130 lbs. my goal weight is 100-110 lbs. i work out at the gym about twice a week (3 times if i’m lucky; i can only go when my parents can take me) and i walk a lot. i was thinking of “zig-zagging” my calories (900-1200 each day), and eating foods like these:

Organic fruits and veggies
Soy products, beans, and nuts
Organic canola, olive and sesame oils, and coconut oil
Whole-grain cereals and bread, whole-wheat pasta, vegetable pasta, tortillas, brown rice, barley, quinoa, potatoes, and sweet potatoes
Organic corn chips; tofu ice cream; and desserts sweetened with cane juice, maple syrup, raw sugar, or other natural, unrefined products
Water, decaf green tea, and organic red wine on occasion.
A typical meal plan might look like this:

Breakfast: mango, banana, kiwi, and soy yogurt
Lunch: organic salad with lots of raw vegetables
Snack (a small serving from the approved list and only if necessary): exotic vegetable chips
Dinner: vegetarian Pad Thai

can i get to my goal weight like this and keep the weight off? or is this a stupid idea? (please answer seriously and don’t just tell me 100 lbs is too skinny i am determined to be that weight)