On the top menu - third icon (Messages), if you select that, you will be able to view direct mesages sent to you.
As of May 10th, 2011, twitter started notifications (via e-mail) when someone retweets or favorites one of your posts. I am not sure if that can be done in Twitter for BB, but you can always send the notification to an e-mail addy you have on your device. I use UberSocial myself, not too familiar with T4BB.
fere libenter homines id quod volunt credunt
there is really no body out there that is good with twitter for the bb and can answer this?
Why is it that not all the people that i follow appear on my timeline on my blackberry? i will only get the tweets from certain person that i follow on my timeline, not everyone!! i have to go on there personal profile page to get all their tweet