On the other hand, I read this part and realized the OP had jumped the shark:
Someone was rude to me today? My fault. I could have lightened their mood beforehand.
It's your fault if you aren't psychic? It's your fault if others can't have common decency? No, at that point, you are looking for a way to say that you control the entire world. I completely agree with my parent's choice of wording: solipsism.
Spend time meditating and introspecting. Talk with objective third parties. It is important for you to learn when you screwed up and how to not screw up in the future.
But don't forget that people are agents unto themselves. Sometimes they do stupid, mean, and ignorant things. If you don't learn to forgive those actions, you will either carry a lot of guilt (How could I let my friend be mugged because I didn't catch an earlier flight home? It's my fault!) or a lot of anger (All muggers must die!). There is a peaceful middle ground that enables you to work on solving the systemic problems without idealizing away the smaller percentage of outright bad actors.
So, no, it's not your fault.