Option D is the correctly spelt word. Heirloom means a family possession handed down from generation to generation.

Purlieus = the area near or surrounding a place

Solemnly = in a formal and dignified manner.

Recessed = built in a space in a wall

Option A has the correctly spelt word. Judicious means having, showing, or done with good judgment or sense.

Option B has the correctly spelt word. Surreptitious means to keep something secret, especially because it would not be approved of.

Option B has the correctly spelt word as "ailment" which means an illness, typically a minor one. The correct spellings of the other words along with their meanings are:

Biopsy = the examination of tissues removed from a living body

Element = an essential or characteristic part of something abstract

Suspicious = having or showing a cautious distrust of someone or something

Option D has the correctly spelt word "patriarch" which means the male head of a family or tribe. The correct spellings of the other words are:

Lechery = excessive or offensive sexual desire; lustfulness

Licentious = promiscuous and unprincipled in sexual matters

Sycophancy = obsequious behaviour towards someone important in order to gain advantage

OPtion D has the correctly spelt word as "tyrannical" which means exercising power in a cruel or arbitrary manner. The correct spellings of the other words along with their meanings: 

Evenness = the characteristic of being regular, smooth, or homogeneous

Grossly = in a very obvious and unacceptable manner; flagrantly

Opposing = in conflict or competition with someone or something

Option C has the correctly spelt word. "Clamant" means urgently demanding attention. The meanings of the other words are:

Stubbornness = determination not to change one's attitude or position on something

Pigheaded = refusing to do what other people want or to change your opinion or the way you do something: very stubborn.

Obscenity = offensive, rude, or shocking, usually because of being too obviously related to sex or showing sex

Option D has the correctly spelt word. Embarrassment means a feeling of self-consciousness, shame, or awkwardness.

Option C has the correctly spelt word. Recommend means to suggest that someone or something would be good or suitable for a particular job or purpose, or to suggest that a particular action should be done.

Option D has the correctly spelt word as "equitable" which means treating everyone fairly and in the same way. The correct spelling of the other words along with their meanings are:
Traveling = to go from one place to another, as by car, train, plane, or ship; take a trip; journey.
Remittance = an amount of money that you send to someone
Kidnapping = gerund or present participle of kidnap which means to abduct (someone) and hold them captive