Hi,
The sources of
vitamin B12 is animal foods, but as you have taken egg and milk then there will be generally no problem of deficiency of vitamin B12.
Still if you have doubt you can go for test, and if it is found low then you need to take vitamin B12 supplement. The best source of
Vitamin D is Sunlight, so it will better take sunbath between 10 am to 3 pm for 10- 15 minutes without applying sunscreen. There are many reason behind hair loss, among these protien deficiency another one. Instead of twice, consume egg thrice in week, with keeping milk and milk products daily. Except that different pulses, soyabean, almond, cashew etc try to include in diet. The sources of omega 3 fatty acids are almond, Fenugreek, cooking oil etc.
Next Steps
For getting personalized balanced vegetarian diet you can consult with me through this practo app.
Health Tips
Include fresh fruits ( citrus fruits) and vegetables and drink 3 litre water which will help in reduce body weight.