Welcome to the forums, and good luck this time around!
Just a couple of random thoughts from your post, not intended to be criticism, but rather things to consider. First, almond and soy milk usually have quite a bit of sugar in them, so be careful with them. Second, don’t overdo the water, as that can disrupt electrolytes. Drinking to thirst is sufficient; you don’t need to force fluids. And while we’re talking about electrolytes, be sure to get plenty of salt, as eating low-carb lets the kidneys excrete sodium rather than retain it. So increased salt intake may help with any fatigue you might be experiencing, as well as with headaches, lightheadedness, and/or constipation.
Nausea can possibly be caused by eating too much of the wrong kinds of fats. Avoid the industrial seed oils, which are very high in polyunsaturated fats, and stick more to animal sources, such as butter, bacon grease, lard, tallow, and the like. Coconut oil and olive oil are much lower in polyunsaturates, too.
The urine strips were originally designed to warn Type I diabetics that they were edging into diabetic ketoacidosis. If your pancreas is producing any insulin at all, diabetic ketoacidosis is not a concern. The value of such strips when we embark on a ketogenic diet is that they are a cheap way of making sure that our liver is producing ketones, which means that insulin has dropped sufficiently to put us in fat-metabolising mode. While the ketones are valuable in themselves, it is the assurance that we are metabolising fat that we are really looking for.
All in all, it sounds as though you are doing well. Just keep your carb intake low, and keep ketoing on! 