Theater is capitalized when it is used as part of a proper
nou
n.
Examples:
The Broadway Theater District
Folk Arts Theater
No, you do not capitalize the word drama.
do you capitalize the word protestant
do you capitalize roaring twenties
Yes, you always capitalize "Cuban."
You should capitalize it if it is a brand name.
When it is used as a name of the theater, then it should be capitalized.
Just the word Greek, as you have done.
no, but you do capitalize mum
You capitalize the first A but not the last a.
No, you do not capitalize the word drama.
You capitalize Huntington
do you capitalize roaring twenties
do you capitalize the word protestant
When it is the name of a particular country, you capitalize it.
Capitalize challah bread
You would not capitalize it. cotton gin
yes, you do capitalize The Black Hills.