[Yule = Yuletide, Christmas; Christmas time; or the Christmas festival] It can be thuh Yule or thee Yule, it all depends on whether or not you want to stress, or draw attention to, Yule or not....
I would pronounce it as 'ba-rock' (ba as in bank). I know of people, possibly Americans, who pronounce it as 'ba-roak' (oa as road).
WESTERN (in the west, or a cowboy movie) is pronounced with a short "e" : "WEHST-urn".
Yeer
They are air and heir, as well as the place name "Ayr" and surnames "Ayre" and "Ayer".