Hi, if you're hungry eat more
Without knowing your height, weight, activity levels, sex etc. we can't give precise advice, but I don't see 2 eggs filling many people to be honest.
You shouldn't be hungry all day if you're eating enough.
If you're coming from a diet high in processed carbs, you may well feel "hungry" for a while as you adjust and learn to listen to your body.
Avocado and olive oil are both good fats, as are coconut oil, butter, ghee and heavy cream.
Please get hold of a copy of mark's book, or at the least click on the 'start here' button at the top of the forum.
The answers to all of your questions are there