Is it advisable to continue a relationship with a girl who had a previous relationship, shows lack of commitment to religious values, lies, is still attached to an old love, and raises doubts about the seriousness of her commitment to the marital relationship and its sanctity?

It is not permissible to continue the relationship with this girl, and interacting with her in the manner described is forbidden by Islamic law. This is because Islamic law has set boundaries for interaction between a man and an unmarriageable woman (ajnabiyyah) to prevent temptation, such as prohibiting conversation without need and being alone together (khalwa). Therefore, hasten to marry to protect yourself and her chastity, and seek out a righteous woman who will assist you in matters of your religion and your worldly life.