Although investigators at the time (1979) did not find any links, here are three other Michigan murders that occurred about the same time as Jane's death:
Laura Mae McVeigh, age 14, of Hubbardston, Michigan strangled 7 April 1979
Julia Curns, age 15, of Claire County, Michigan stabbed to death 12 April 1979
Victoria Livermore, age 17, of Antrim County, Michigan, beaten to death 19 May 1979
While I could find very little information about Julia or Victoria, the following came up regarding the murder of Laura Mae McVeigh:
Laura Mae McVeigh was abducted and murdered while jogging. Jerald Leroy Wingeart , who was convicted in 2001 of the 1973 murder of Dawn Lee Swan Magyar, was considered as a suspect in Laura's murder. Investigators matched fibers from Wingeart's van on Laura's jogging suit and some of her hair was found in his van.
JERALD LEROY WINGEART
Image Date: 1/8/2020
MDOC Number: 106413
SID Number: 0494598E
Name: JERALD LEROY WINGEART
Racial Identification: White
Gender: Male
Hair: Gray
Eyes: Blue
Height: 6' 1"
Weight: 230 lbs.
Date of Birth: 01/15/1941 (81)

Laura Mae McVeigh, age 16, Murdered 7 April 1979

Dawn Lee Swan Magyar, 20, of Corunna, Michigan
Murdered 27 January 1973
LINKS:
http://2.bp.blogspot.com/-WEPR04sBd...Unrelated';+The+Argus-Press,+May+22,+1979.jpg
Laura Mae Mcveigh (1963-1979) - Find a Grave...
Dawn Lee Swan Magyar (1952-1973) - Find a Grave...
Murder of Dawn Magyar - Wikipedia
Offender Tracking Information System (OTIS) - Offender Profile