You can figure out if he loves you by paying attention to his actions, not to his words. Since he lied and cheated in the past, I'd be cautious about accepting him back if I were you. Those were actions, and actions speak louder than words — as the saying goes.
In addition, it seems he is telling you what he thinks you want to hear. Once again, those are just words. Watch for his actions. Is he there for you in time of need? If you're sick at home, does he do food shopping for you to keep your refrigerator stocked? If you want to do something that he doesn't care for, is he willing to compromise? You get the picture.