It’s an hourly. Choosing between "a" or "an" is determined by the initial sound of the following word. "Hourly" starts with a silent "h" (it sounds like "ourly"), so it takes the article "an".
It’s an honorarium. The rule for using "a" or "an" is based on the initial sound of the following word, and not how it is spelled. Since the word "honorarium" begins with a vowel sound (the "h" is silent), we use the article "an".
It’s an honorable. The choice between "a" and "an" is determined by the initial sound of the following word. Since "honorable" starts with a vowel sound (the "h" is silent), it takes the indefinite article "an".
It’s an honor. The rule for choosing between “a” and “an” is based on pronunciation, not spelling. Since the word honor begins with a silent "h", it takes the indefinite article "an".