He kissed his fiancée and touched her; is she haraam for him?
It is not permissible for a fiancé to touch his fiancée, or be alone with her, or kiss her, because he is a stranger to her (non-mahram) until the marriage contract is done. It is only permissible for him to look at her when proposing marriage so that he will marry her knowing about her, and this could help to make the marriage successful.
Based on this, what you mention about touching the breasts etc is haraam and he has to repent from that, as well as regretting it, praying for forgiveness and resolving never to do that again.
Each of them also has to keep away from things that may lead to temptation and things that may tempt them to do haraam things, and they should be keen for their married life not to start with disobedience towards Allaah, may He be exalted.
The things mentioned do not mean that the girl becomes haraam for him (a mahram), even if we assume that he breastfed from her, because breastfeeding of an adult does not have any effect, according to the majority of scholars. See also question no. 2864.
The issue referred to in the question has to do with sucking the breast and drinking milk, not just kissing or sucking without milk being produced.
To sum up: all they have to do is repent to Allaah, may He be exalted, and they should hasten to get married if possible.
The best treatment for waswaas is to remember Allaah constantly (dhikr) and to offer prayers regularly on time with the congregation, and to adhere to obedience to Allaah, may He be exalted. Then one should ignore the waswasah and not pay any attention to it.
And Allaah knows best.