I have an old curve (more than 2 yrs old). I dropped it accidentally due to which the trackball is broken now.
How do I move the cursor around without the trackball?
You can experiment. There's a few ways that can help a lot in this type of situation (if you have keyboard shortcuts enabled.) For example, if you click "F" on the home screen, the notification profiles menu will open. You can then click another letter (say "N" for normal, "L" for loud, "Q" for quiet, "V" for vibrate, etc.), followed by the enter key to make your selection. Other menus might have some similar options.