There are no limits on true self-giving. It is not just to those one likes that one makes the offering. This involves a love that issues from the very CENTER of the person's being, directed to the CENTER of the other person's being, a love that gives ALL that the person is in order to foster the other person's life, a love that is offered to EVERYONE, without exception and without condition. The love is not offered to people because they are one's friends; people become "friends" because one loves them.
If we don't know in the depths of our being that God calls us "beloved," we need to. And if we do know it, and it hasn't set us on fire, then we don't know it well enough. Take time daily to be alone and silent before God. And an awareness of your utter belovedness will become a reality for you.