1. Yes. Go to the full icon screen and move to the top two rows the icons you want there. That will translate to the same two line screen in your home screen view.
2. Yes. For the SMS, go to the messages folder > Options > General Options > Email and SMS Inboxes = Combined.
For the call logs. Press the Green dial key to enter the Call Log > Menu > Options > Call Logging and choose all or missed or whatever you want of that to see in your messages list.
3. Messages > Options > General Options > Display Message Count = None.
4. Look in your "downloads" folder on the screen, and see if you see the blue F icon. If not, with the device powered on, remove the battery and reboot.. and look all over again. On the main screen, downloads folder, applications folder, etc.