The problem with backwards time travel is for example imagine you are in the Tardis in Dr. Who. You set the Tardis to go back 30 mins in time. It starts to go back and immediately collides with itself from 1 sec before you left. Also say u go back 1000 years. How does the machine you step out of in 1001 A.D. come to be there?
This could be avoided by using closed time-like curves, which enable you to leave and then appear in another time, without having to stay fixed in one spot while the world around you moves backwards.
Also it depends on what you view of time is. Is it like a big field, with the past fixed and grayed out in the past over at one end, the present where you are now, and the future open to possibilities. If that is what you believe then when you go back surely you will not be able to change anything, but merely observe? Or perhaps you believe that the future is already predetemined, in which case no matter what you do the course of the future will not be affected.
The grandfather paradox can be rebutted by using the banana skin possibility. That is, at the moment that you are about to shoot your grandfather (before he creates your father) your foot slips on a banana skin and you slip over, the shot missing.