Owen and Claire almost kiss but are interrupted. Ian Malcolm makes super-mild flirtations towards Claire. Alan Grant bitterly refers to a failed relationship with Ellie Sattler. Nothing to be concerned over.
In one episode, a child (Hudson) asks Owen "when you were taking a nap, why did you call out Claire's name so much?" to which Owen awkwardly tries to cover the child's mouth. A minute later, the child proceeds to say, "When you were calling Claire's name it sounded like you were crying a little." Again met by an embarrassed Owen, trying to shut him up.