You may have a capital gain on the sale of land adjacent to your home. Whether or not a mortgage is involved does not impact gain or loss for federal income tax purposes. However, you may be able to use the home sale exclusion (which is up to $500,000, or $250,000 for singles) for gain on the vacant land adjacent to your home if the sale of the vacant land and the sale of your home occurred within 2 years of each other.
Generally, an unmarried person who maintains a household for dependents and is allowed to compute his or her tax based on head of household rates, which are more favorable than single person rates.