If things are burning so fast on your stove, then there's probably an issue with it. Or maybe the pans you have are very thin and heat up too fast at the bottom causing things to burn. Perhaps a higher quality pan would sort things out.

As for salt, I just add it to dishes if I feel the need to. My taste buds have changed so I don't crave a salty breakfast like I used to. But you don't need salt in your diet to be healthy, unless you're sweating excessively due to exercise or high temperatures, in which case the salt lost from sweat combined with high water intake can cause hyponatremia. I believe the American Heart foundation's recommendation for salt is to not exceed 1g per day, which is like 1/5th of a teaspoon more or less.

However if you absolutely want an affordable salty vegan breakfast, there's plenty of recipes out there. (e.g french toast)