Log into your account and you will see the recent tweets from those you are following. To see tweets that you have been mentioned in, click on the @username tab on the right hand side.
There are many desktop applications that allow you to be notified of new tweets. You can check it at http://twitter.com/downloads.
Check your settings. You might only have it set to text when a certain user tweets.
No you can't.
'tweets' in french is 'gazouillement'.
You will receive tweets on your homepage from everyone you follow. Unfollow them to not receive their tweets. To stop people seeing your tweets (except from those you approve) you can protect your tweets from the settings menu.
Indigenous Tweets was created in 2011.
It will tell you underneath the retweet.
All tweets can delete. You only have the ability to delete your own tweets.
Breaking Tweets was created in 2009-01.
If you protect your updates, the people who follow you CAN see your tweets, but ONLY the people who follow you.
If your account is protected then your tweets can't be retweeted.
You can't actually include pictures in your tweets. However, you can use TwitPic to upload your pictures which then tweets the link on your Twitter.