Have you been leveling up? If not go to the character screen and press Y to auto-level up...your characters health should skyrocket.
Next, do some side quest to get some experience points before starting the main objective - finding Bastila and the Swoop Engine. Plus before heading out buy some medkits to aid you when your hurt (and if you haven't yet) lower the difficulty to Easy and go through the Tuitorials again.
And f.y.i. the engine is in the Black Vulker Base accessable via the Taris Sewers in the Undercity...you'll have to get past the Rancor though Man, it's been too long since I played this game...
[Edited by Jackal, 2/9/2008 1:14:54 PM]