To extract zip of your hash : zip2john, or 7z2hash, depending on your archive.
You will need to find the good mode : PKZIP? 7-zip? WinZip? With or without encrypted headers?
To help you: https://hashcat.net/wiki/doku.php?id=example_hashes
Then create a wordlist with the words you gave before, and run hashcat on it with the good mode.
To "Capitalizes whole word, the beginning of a word, or no capitals at all" you will need to add rules https://hashcat.net/wiki/doku.php?id=rule_based_attack and give this ruleset to hashcat.
You will need to find the good mode : PKZIP? 7-zip? WinZip? With or without encrypted headers?
To help you: https://hashcat.net/wiki/doku.php?id=example_hashes
Then create a wordlist with the words you gave before, and run hashcat on it with the good mode.
To "Capitalizes whole word, the beginning of a word, or no capitals at all" you will need to add rules https://hashcat.net/wiki/doku.php?id=rule_based_attack and give this ruleset to hashcat.