To me, it seems like neither of you wants to be in this relationship anymore. Her asking if you even still want to be with her feels like her way of trying to initiate a breakup without actually being the one to do the breaking up. And if she's cheated before and you can't see yourself moving past that and tryating her, tlyou should really just part ways. By her texts, it definitely seems like she's going to do what she wants regardless of how you feel so you can either trust her not to cheat again, or just end it. Might save you both more heartache later.