No, they can't. When you mute someone's story on most social media platforms, it's a private action on your end and there's no notification sent to the person whose story you muted. So, they have no way of knowing that you've muted their story.
Typically, no. Social media apps are designed to protect users' privacy in such matters. For example, Instagram doesn't provide a feature that shows which specific users have muted your story. They focus more on your overall reach and engagement stats rather than individual muting actions. So, it's very difficult, if not impossible, to tell if someone has muted your story.
It's possible. For example, if they pay close attention to who views and interacts with their stories, and you suddenly stop, they could suspect something. Also, if they specifically ask others and someone mentions your lack of response, they might figure it out.
Typically, no. Muting a story is a personal preference for your own feed management. Social media platforms are designed to respect your privacy in this regard. For example, on Instagram, muting someone's story is just about you customizing your experience, and there's no indication sent to the person whose story you've muted. It's all about giving users control over the content they consume without causing unnecessary social awkwardness.
No. Social media platforms are designed to protect the privacy of the user who mutes. There is no feature that notifies the story creator that you have muted their story. It's just a way for you to control your own feed without causing any awkwardness or alerting the other person.