If they had both repented to Allah before getting married, and they regretted the haram things that they had done, then their marriage is valid. But if they did the marriage contract before they repented, then the marriage is not valid and they have to repent to Allah and regret what they have done, and resolve not to do such a thing again, then they should make a new marriage contract.

It is not permissible for a man to kiss the mouth or hand or anything else of another man, or for a woman to kiss another woman, or to embrace or touch their bodies, etc., if that is done by way of desire. But if that is not done on the mouth, and it is done by way of respect and honouring, or to express emotion upon meeting and parting, then there is nothing wrong with it.