Your diet looks pretty good. The low carb intake is great, but you could stand more protein, as Allie mentions, and then add fat to satisfy your hunger. The total number of calories is at starvation level, however. If you are eating that amount because your appetite has dropped, then that’s probably okay, but if you want to lose more fat, you may need to increase your food intake.
In many respects, ketosis is, as Prof. Bikman remarks, a metabolic state very similar to fasting, just without the lack of food. I’m not sure what “intermittent fasting” means, because people use the same term to describe various types of eating. If you are using the term to mean eating only during a certain time period each day, that is one possible meaning. It could also mean to stop eating after supper one day, and not eating again until breakfast-time on the second morning after that. If you are at the stage of forgetting to eat because you just aren’t hungry, then that’s a good point at which to explore fasting. But it’s not necessary, even if it can be helpful, so go with what you’re most comfortable with.