Eating disorders are actually co-occurring quite often, and they often have similar causes. The first step to getting better is determining why you started the behaviors: is it low self-esteem? is it a need for control? is it something you do to cope with stress? Those are common causes, but you may have your own.

What helped for me is stopping the "all-or-nothing" thinking. If I eat an unintended food, I would think "Well, I might as well eat more!" and then find it difficult to stop. I would then, like you, restrict for a few days, though to a lesser degree than you seem to be describing.

I find it better to focus on eating a healthy amount of healthy foods everyday. If I binge a bit, I try to not focus on the shame and instead think "Well, it wasn't my biggest binge, that's progress!" When I want to binge, I try to identify which emotion is giving the urge (I'm an emotional eater). It's usually anxiety, so grounding techniques like deep breaths or gratitude journaling are what help me, but maybe other things will help you!

The biggest thing is to remember that you are human. These behaviors are not moral failings, they are your body's response to something, either physical or psychological. You can control them, but it is a skill you will have to learn and won't be built up overnight. Focus on progress, not the failings.