Regarding the questions in the OP.........
"The effects of sin on fallen human beings are so great that without God's common grace (i.e., His nonsaving grace that is available to all persons), society would be unlivable and salvation unattainable." (Geisler, Systematic Theology, 3.130)
"Even though faith is possible for the unsaved, nonetheless, no one can believe unto salvation without the aid of God's special grace."(Geisler, Systematic Theology, 3.136)
"The human will cannot, unmoved by divine grace, seek God. Paul said, 'There is no one who understands, no one who seeks God' (Rom. 3:11). Further, human will cannot initiate salvation. John declared emphatically that believers are 'children born not of natural descent, nor of human decision or a husband's will, but born of God' (John 1:13). Also, by the human will one cannot attain his own salvation: 'It does not, therefore, depend on man's desire or effort, but on God's mercy' (Rom. 9:16)" (Geisler, Systematic Theology, 3.147-148)
"One is free in the choice to receive or reject the gift of salvation. . . Of course, our act of faith is prompted and aided by God . . . While God, though, prompts our act of faith, He does not perform it -- it is, after all, our act." (Geisler, Systematic Theology, 3.148)
"Having a fallen nature means we are incapable of saving ourselves." (Ibid., 3.149)
In addition, under the title of "The Names Used of God's Saving Acts" are salvation, redemption, regeneration, and justification, among others. (Ibid., 3.222 ff.)
So Norman Geisler does not believe a person can redeem himself.