To be fair Alexander could have been blond, there are many descriptions of him like that (and also many with brown hair). Plutarch, who lived long after him but is generally a good source describe him as blond. His eyes were again, depend on version, blue, gray or one blue and one gray. It's not impossible since ancient Macedonians were known to have all those.

About gayness, it was rather bisexualism which was common in Macedonian nobility, including pederastia.