Alright, there was a request for that, so here are the relationships maps.
There was a sort of love triangle of sort between Siri Ahlgren, Lorenzo Ramos, and Joseph Cole. Though it seems things were more serious between Siri and Joseph.
Dimitra Christos was originally distracting some of the male personnel from her contraband in the starboard cargo bay by sleeping with Frederick Lindswirth and Pierre Cheung. Though, eventually she developed feelings for Lindswirth (who also reciprocated such feelings) and felt awful for "cheating on him" with Cheung.
After Siri's death, Gaila became closer to Joseph Cole, mostly to help him go through the loss of Siri, and partly out of fear of her stalker (see below). Had Cole not been murdered, who knows how those feelings might have evolved...
Sam "Squat" McGinnis was obsessed with Gaila Greyfox to the point of stalking her. The fact that he had stopped taking his anti-psychosis medication did not helped.
Anna McGregor sadly could not get over her Bill, and remained celibate. Though Pierre Cheung was the crew member closer to her age and she may or may not have thought about starting a relationship with him (deep space missions get really long after all)...