[Grammar] Capitalization and Definite/Indefinite Article

[Snappy]

Are the following sentences all acceptable?

1. The town opened a Community Center. (There are no other community centers in the town. Should this be "The town opened a community center" or "The town opened the Community Center")
2. The city signed a Memorandum of Agreement with its sister city (should this be "The city signed a memorandum of agreement..." or "The city signed the Memorandum of Agreement."?)

 

[probus]

Are the following sentences all acceptable?

1. The town opened a Community Center. (There are no other community centers in the town. Should this be "The town opened a community center" or "The town opened the Community Center")

No. The indefinite article is correct.

2. The city signed a Memorandum of Agreement with its sister city (should this be "The city signed a memorandum of agreement..." or "The city signed the Memorandum of Agreement."?)

In general usage capital letters are not required here. But in legal documents American and Canadian lawyers often use initial capitals when referring to terms that are defined in the document. So if "memorandum of agreement" had a definition specific to and included in the document, they would often write Memorandum of Agreement.