You can't track twitter's search results. That would be against it's privacy policy.
You can't do this. You can only block someone from sending you tweets altogether.
If your profile/tweets are not protected then anyone can see your tweets.When you mention someone in your tweet, that tweet will always appear in their @replies tab whether they are following you or not.
If your tweets are protected then the "retweet" button is not available on your tweets. However, this doesn't stop someone who is following you from copy and pasting your tweet to a new tweet and adding "RT" before it.
The only way you would receive these tweets is if they are retweets or if you are following them.
When you follow someone on Twitter, their tweets will then appear on your "timeline". This means that you don't have to go to someone's individual profile to look at their tweets.
If you protect your updates, the people who follow you CAN see your tweets, but ONLY the people who follow you.
Yes they will get your tweets. It will appear in their @replies tab.
A follower is someone who "follows" your tweets. Your tweets will appear on their timeline. Twitter follower - is someone who follows and subscribes to your tweets or post.
Nobody will know anything. Twitter is a open community.
There are multiple ways you will know if someone tweets you. First, if you have email notifications turned on, you will get an email that says someone has mentioned you. Another way is that, when someone mentions you, it will show up under the "Connect" tab.
By downloading the official Twitter app. You'll then receive notifications when someone tweets you. (providing you have an account)
It's not essential but yes you can.