Is a girl who made a mistake in the past (kissing and hugging with clothes fully on) out of weakness and exploitation considered an adulteress? And does the saying "Good women for good men" apply to her, such that she can only marry an adulterer, or can she marry a chaste and righteous young man?

Ease your mind and have a good opinion of your Lord. If you have repented sincerely from the sin, then your repentance erases it, and you become as one who has not sinned, for the Prophet, peace and blessings be upon him, said: "The one who repents from sin is like one who has no sin." So, cast away these thoughts and turn to your Lord. Know that what you did was among the preludes to fornication, not the actual fornication that necessitates the prescribed punishment. However, as long as you have repented, repentance erases all sins, for Allah the Almighty says: "Say, 'O My servants who have transgressed against themselves [by sinning], do not despair of the mercy of Allah. Indeed, Allah forgives all sins. Indeed, it is He who is the Forgiving, the Merciful.'" You are among the good women for whom it is hoped that Allah will provide good men. So, cease these thoughts and busy yourself with the worship and supplication of your Lord.