Continuity mistake: At the start of the film, Glover's character blows away the Colombians with a shotgun outside their drug den. Immediately afterwards we're shown the Predators POV (in thermal vision) - looking directly down at their bodies, which show up a greenish color. This would indicate their body temperatures dropped to a much lower level impossibly fast. (00:07:00)
Continuity mistake: Shell casings on the rooftop disappear and reappear between shots after Harrigan shoots the drug dealer off the roof at the beginning of the film. (00:10:29)
Answer: The predators are honour bound hunters, and as such they will only attack a target if it is capable of defending itself (i.e, if it is armed, which is why it doesn't attack the boy in the cemetary). Although the police outside were armed as well, the Predator presumably attacked the drug dealers because they were a harder target (as the police were outside he could have just sniped them from the roof tops, but he had to get relatively close inside the building) and as such, killing them gave a higher honour. The obsession with Danny Glover's character is probably because he is quite a brave and heroic person, similar to a Predator (the way he saves the other cop by risking himself etc.), so the predator may have been studying him for a while. There's also more honour in killing someone like that (as he'd be a hard target) than there is in just killing a random armed guy.
Gary O'Reilly