No one loses weight consistently.
The initial weight loss of 5.2 Kg that you experienced would have been mostly water, food bulk and muscle.
To "burn up" 5.2 Kg of actual fat you would have to eat NOTHING for 22 days straight (8700 Kj deficit daily, where 37000 Kj deficit needed to remove each Kg fat).
Also, scales are not perfect, and will vary by small amounts daily. Your body weight will also vary from day to day. Your metabolic rate will also change regularly due to various factors and as it tries to adjust and compensate to the changes in your diet and activities.
Assuming your average daily energy requirement is about 8700 Kj (this lessens as weight is lost), then your input of 5440 Kilojoules (1300 Cal) creates a daily energy deficit of 3260 Kj.
Fat contains about 37 Kj per gramme, so a 3260 Kj is equal to about 90 grammes of fat. Your "crappy" amounts are real and sustainable amounts. Over time they will add up to a final awesome amount.
However, your energy needs that exceed your daily input are not just obtained from fat, but also from muscle. The lost muscle will be replaced using a combination of protein and exercise. So, perhaps you may be only losing between 60 to 80 grammes of actual fat on a daily basis.
Wait for a few months and see what the AVERAGE weekly weight-loss is. I'd be willing to bet that if you continue as you are you'll lose on average, about 0.7 Kg per week, or 2.8 Kg per month.
My calculations include a lot of assumptions, and I'm not an expert in this sort of thing, so you should calculate it yourself. However, it does illustrate the biological side of losing fat and why the major initial losses have no value except as encouragement to continue.
Sticking to a weight-loss regime is difficult, which is why we are here on this forum - for encouragement, a helping hand, education and so on. There are plenty of success stories here and they all just stuck to their plan and didn't let seemingly small incremental losses or even the inevitable plateaux discourage them to the point of giving up.
So, don't worry Kwirky, you're doing just fine.
Striving to improve in every way possible.