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From wikipedia.com

Love has several different meanings in every language, from something that gives a little pleasure (“I loved that meal”) to something one would die for (patriotism, pairbonding). It can describe an intense feeling of affection, an emotion or an emotional state. In ordinary use, it usually refers to interpersonal love. Probably due to its psychological relevance, love is one of the most common themes in art. Love might best be defined as acting intentionally, in sympathethic response to others, to promote overall well-being (Oord).

Love is inherent in all human cultures. It is precisely these cultural differences that make any universal definition of love difficult, but not impossible, to establish. See the Sapir-Whorf hypothesis.

Expressions of love may include the love for a soul or mind, the love of laws and organizations, love for a body, love for nature, love of food, love of money, love for learning, love of power, love of fame, love for the respect of others, et cetera. Different people place varying degrees of importance on the kinds of love they receive. Love is essentially an abstract concept, easier to experience than to explain.

“Romantic” love is a form of love that is often regarded as different from mere needs driven by sexual desire, or lust. Romantic love generally involves a mix of emotional and sexual desire, as opposed to Platonic love(love without sexual relations). There is often, initially, more emphasis on the emotions than on physical pleasure.

Interpersonal “relationships” are social associations, connections, or affiliations between two or more people. They vary in differing levels of intimacy and sharing, implying the discovery or establishment of common ground, and may be centered around something(s) shared in common. The study of relationships is of concern to sociology, psychology and anthropology.

So they are all pretty much subjective terms.