Looks right to me. Are you referring to the capitalization?

Yes, breaking a single sentence in two, hence beginning a sentence with "E.g.". At least stylistically if not grammatically incorrect.

e.g. means "example given", it's being used correctly in this case; i.e. is a bit more subtle as it's Latin for "id est", which is more like a "that is to say..."

Both would work in this case, but e.g. is not incorrect.

e.g. stands for the latin exemplī grātiā aka exempli gratia, which the literal translation is "for sake of example"

id est is literally "that is". For something like "OP is a bakchod; that is, a tosser" -- replace that is with i.e.