Lower Carb ?

I am an asian and as such rice is my staple food. I am also a vegetarian. Egg is ok but meat, poultry or fish is a no go. Do not have any known allergies to food. 168 cm ht and was 70 kg weight.

Over the last few years, we were eating more and more carbs (primarily due to a hectic life style) and were going low on both fats and protein. This ofcourse led to many issues like insulin resistance, loss of lean mass, about 25% BFP, food cravings etc. Used to get heavily hypoglycemic when ever I was hungry. Though my total weight remained same over years it was obvious that my lean mass was getting more and more replaced with fat.

After lot of study and research, we improved our diet - basically included enough protein and fats. In parallel I started weight training 3-4 days a week and cardio twice a week.

Primarily due to the increased protein and fat in my diet, my carb intake obviously reduced. This combined with the resistance & cardio training has definitely helped me. Over the last 3 months, I have reduced an average of 2 lbs per month. Now I am hovering around 67.5 kgs. No longer crave any foods. No longer get hypoglycemic when I am hungry and can even jog for 30 minutes in the morning before breakfast without getting tired / fatigued. This by itself is a great feeling for me and for 3 months I guess is a decent achievement without any dramatic change in diet or lifestyle or daily schedule.

Rice and wheat are still the main ingredients in our food. Still consuming around 150-175 gm of carbs daily. On the whole

I still want to reduce around 5-6 lbs - primarily fat. But neither do I want to look too skinny nor do I want to lose lean mass. A full fledged low carb diet would be exactly that.

1. Would reducing another 50 g of carbs on average & increasing healthy fats help ?
2. Would having a no/low carb breakfast & dinner and a normal carb lunch help ? Will it work ?

Any suggestions ?