In the 19th century Methodists in the south became split because many of them were starting to water down the church's teaching on slavery so that they could slave owners as members. Not only did it cause trouble in the south but many northern churchs saw the problem with keeping churchs in that were disobeying the beliefs of the denomination. Then some congregations started charging members for the right to seat in the pews considered "prestigious" which disagrees with the Book of James. In protest to rebellion against Biblical teaching and church teaching many congregations in the midwest broke off in 1860 to form the Free Methodist Church using the term free because they said a church that charges members for pews is not a true church.
Concerning the last question evangelism, holding to inerrency (sp?) of Scripture, remembering the importance of what Christ did for us, emphasis on missions particularly in areas where evangelicals aren't common, and helping the poor are the most important things to Free Methodists.