Its funny what a weight is lifted once you just accept that you are an empath. There is a ton of work to do. But just letting go of all the thoughts that you thought you were going crazy makes you feel a lot better.
I think when you get deeper in to this you will find that there are almost no coincidences. I'm not sure what the deal was with the phone. I've had that happen at times as well and then I reboot my Samsung and get it working again. But it sounds like the phone glitch distracted you and caused you to step away to the store. I do think at times we are directed to go somewhere to help someone or to learn something. Its possible that you were being redirected.
I'm not sure if the desire to clean means much. It may have been that you were feeling better after being so down and cleaning your home is something important for you (clean and orderly maybe something that makes you happy). And now that your energy was back you were excited to do that. But as for the car ride and anxiety, I get a ton of anxiety driving in my car. If you think about it you are driving past quite a few cars and homes as you travel by car each day. And with your empath radar up, your're picking up everything around you. It makes sense that the person flying past you was stressed out and some of that negativity found you. But I think so often its not always the people near you that you pick up on (kind of a yes and no on that). I have been reading that often empaths will pick up emotions from people clear across town. But I do think that when driving solo people have a lot of time on their hands to reflect on their problems and path of their lives. And quite often couples will fight when stuck in a car together. And as we empaths are cruising around in our cars, we pick up on all that. I find that music has been good therapy when driving and helps me balance out how much negative I let in while I drive.
I think your next step will be to find out what works best for you to ground away that negative you pick up each day. When you don't ground you will absorb all that negative from the world and feel grumpy, exhausted, and even sick to your stomach. I find that if I don't ground myself, it takes days for that negative to disperse on its own. That's not healthy, and is hard for your loved ones to deal with when we get like that. Find a grounding technique that works for you and expel that negative energy from your body when you feel the anxiety building up. There are quite a few forum posts on this site about grounding techniques. And if you want to private message me I can share some of my own thoughts on the subject (a little too lengthy to write here).