Old English is just generally not a priority. There are only so many hours in the schoolday and so many schooldays in the year.
“Ye Olde” is Middle English (or maybe even Early Modern)
Old English doesn’t look like English at all. To my eyes, it looks Scandinavian-even though I know it is closer to Dutch than to Swedish/Danish/Norwegian. Actually, the closest living relative to Old English (apart from its descendants) is Frisian, a minority language of the Netherlands and northern Germany.