KSTR "96.1 K-STAR" is a Classic Rock station licensed to Montrose, Colorado.
That much I know for sure. What's unclear is this KSTR sticker from the mid-1980s.
KSTR-AM was located at 620 AM and licensed to Grand Junction, CO (currently Contemporary Christian KJOL.) The FM half doesn't seem to exist, at least with the KSTR call letters. Both the 1984 and 1985 Broadcasting Yearbooks list 96.1 FM as being KWDE with an "Adult Contemporary, Modern Country" (?!) format.
I can find no evidence of a station having the KSTR calls in the mid-80s (as dated by the coupon expiration.) Judging by the Morning Zoo caricatures the station probably had a CHR format. Maybe there's no relation to the current K-STAR and the vintage KSTR other than having the same call letters and being from the same area. I'm through researching it.
UPDATE: See comments.