Yes, i should be---North High School.
Yes, "La Reina High School Sophomores" should be capitalized as it is a proper noun.
It does not need to be capitalizes unless your are talking about a specific high school team - such as Roosevelt High School Men's Soccer Team.
Yes, when referring to a specific region like the North country, it's common practice to capitalize "North" to signify it as a proper noun.
You capitalize the word "Homecoming" when it refers to a specific event or celebration, such as a high school or college homecoming. If you are using it in a general sense, such as "I look forward to my homecoming," it is not capitalized.
Yes, you should capitalize the "N" in "I-75 North" as it is the correct way to indicate direction on a highway or interstate.
You don't capitalize it except if it is the beginning of a sentence
Naperville North High School was created in 1970.
North Valleys High School was created in 2001.
McKinney North High School's motto is 'Recognize North'.
North Hunterdon High School was created in 1951.
Yes, "La Reina High School Sophomores" should be capitalized as it is a proper noun.
The motto of Parkway North High School is 'Head North for Excellence!'.
North Kingstown High School was created in 1901.
North Muskegon High School was created in 1935.
North Carroll High School was created in 1956.
North Miami High School was created in 1951.
North Mesquite High School was created in 1969.