In the below sentence:

Where would be a good place for Jocelyn, Eli, and me to have brunch on the southside/downtown?

the rules I remember say to use "me," but "I" sounds better. Please tell me which is correct.

Also, when I am talking about the southside of a city, is it one word, non capitalized?

Thank you in advance.

Me. to have brunch modifies good place.

me is the object of for, (objective case requires me)
http://www.oxforddictionaries.com/page/145

http://dictionary.reference.com/browse/south+side?r=66

The use of "me" is correct; it's an object in that sentence, not the subject.

I believe it should be "south side" (two words, no capitals) unless it's a formal name for a part of a city, and this is not.

Use either "south side" or "downtown" but not both.

In the sentence, "Where would be a good place for Jocelyn, Eli, and me to have brunch on the southside/downtown?", the correct pronoun to use is "me."

To determine the correct pronoun, it's helpful to understand the subject and object pronouns. In this case, "me" is the object of the preposition "for." The pronoun "I" is used as the subject of a sentence or clause.

To find the correct pronoun, you can remove the other people mentioned in the sentence and see how it sounds. For example, if you remove "Jocelyn, Eli, and," the sentence becomes: "Where would be a good place for me to have brunch on the southside/downtown?" This sentence still sounds correct, indicating that "me" is the appropriate pronoun.

Regarding the term "southside," it can be spelled as either one word, "southside," or as two separate words, "south side." The capitalization depends on the specific style or context in which it is used. In general, for a formal or proper noun, it is common to capitalize both words, such as "Southside" or "South Side." However, if you're referring to a general area or direction, lowercase might be more appropriate, such as "southside" or "south side." It's recommended to consult a style guide or adhere to the guidelines used in your specific writing context for consistency.