MP
Your dvar Torah is very nice. Just some ha’aros:
Since the oil burnt 8 days we celebrate 8 days so automatically there will be a Shabbos in there. Just saying. Also Chanukah falls on 25 Kislev in commemoration of the historical fact that the Jewish fighters rested from their battles against Syrian-Greeks on the 25th of Kislev. So again an 8 day Yom Tov starting 25 Kislev would automatically have in it a Rosh Chodesh.