Thats too little food!
Ketogenic diets are not starvation diets. If you lose weight too fast, or dont get enough nutrients you could die, or get sick. Eating like youve described, I beleive it would happen very quickly. Please reconsider..
U need fat on a ketogenic diet. Like large amounts of it. Few plant foods have many fats, lets alone saturated fats. Coconut and coconut oil, is one source tho.
A ketogenic diet is not starvation, its using fat for energy instead of carbs. Otherwise its similar to a normal diet. U still try and get in enough calories to function properly (even if your losing weight, theres a minimum amount of calories you should eat), and you still eat enough non-starchy veg and other things for nutrients. You need more calories and more nutrients, whatever you decide to do.
A ketogenic diet is high in dietary fat, moderate in whole proteins, and low in carbs.
Its hard to imagine how you would acheive that on a 100% vegan diet, or if its even possible. I am not aware of any plants with whole proteins, I dont think there are any.
Please dont hurt yourself, Umi. Eat a bit more normally for now, hey?... and stick around to see what you can learn about food and eating before making any choices.. There very likely may be some ideas you can use, even as a vegan.
At least for now, if you insist on staying 100% vegan, it may be more viable to do a moderate carb diet rather than a completely ketogenic one..
If your willing to include any of the following (and eat more food, dont be so extreme etc):
Bivalue shellfish or even better fish if you can tolerate the idea
It might make your pursuit of a vegetarian low carb paleo diet more viable. Even one of these catergories would help alot, but all of them would be most ideal.
Basically what I do with my low-carb diet is I eat a bit more meat than I used to, a fair bit more fat in that, and more low-carb veges (like green beans, silverbeet, carrots, tomatoes, capsicun etc) instead of bread/rice/pasta.
Basically the rice or pasta or bread just gets replaced by vegetables of various kinds and you add in fat/protein from animal sources. I eat more or less the same amount of food (perhaps a little less now, but still decent big meals)
I have lost weight (even though it wasnt my goal).
You see doing that with just plants is hard, because theres not enough fatty plants to act as the core of your meal. And plants just dont have those whole proteins, which you rely more heavily on in ketosis.
You need the fats and the whole proteins, for powering the energy in your body in the absence of carbs.
And yet, if you added coconut oil/coconuts, olives, avocados and macadamia nuts etc to the above list of animal derived foods(with whole proteins in it and more fats) if you could accept some of them, youd have a reasonable number of fat and protein sources and it could be more viable.
Something to ponder on?
You should really, honestly, stay around, learn a bit more, and then plan a diet. Dont rush into anything that could dramatically effect your health and wellbeing without as much info as you can get.