We know there are atheists who strive to do better and they are not saved. I am in agreement, with you we should as humans try to do our best. The only way to achieve our real best is to be saved by faith through grace, without which the striving, the works are meaningless. So your post is correct.Whom do you pray to, for "help in doing better"? Mary? St. Peter? Who?
Not necessarily, but it should be more than a mere impulse. It should be a part of our being. We should always stive to do our best and we can, by grace through faith in Christ Jesus our Lord.