Actually many Protestant groups believe baptism is a sacrament. Presbyterians, Lutherans, the United Church of Christ, the Episcopal Church, and the United Methodist Church believe that baptism is a sacrament.
Yep!
OP; there's a lot of puritan influence in "Ordinances". There was a lot of rivalry in the enlightenment period, Catholics and Protestants. In England it got pretty dangerous, one king or queenwould be protestant, and would jail or even kill clergy who seemed "too Catholic", and vice versa when the next Catholic king or queen came along. Famously, "Bloody Mary" was responsible for numerous deaths of Clergy and Laity alike who she espoused to be "Protestant", despite prior to her rule Protestantism was the state religion.
Born out of all of this conflict was the Puritan movement, which was neither Anglican or Catholic. They were decidedly Protestant, so much so that they adamantly rejected anything Catholic. Anglican and Catholic worship was essentially the same, and at the time Theologies were really similar (it was more political than anything; rather the Pope should lead the church or someone appointed by the British Crown- an Anglican Archbishop; most commonly of Canterbury), Puritans took a movement that basically said if it's Catholic, it's bad. From that movement grew other movements that sprang into a number of other movements and denominations. And Anglicanism became more 'Protestant' itself, in theology. Though even today, their worship is very similar to Roman Catholics.
So, a result of all of this is a rejection of Sacraments. And saying that these traditions are merely symbols of something that happened long ago, as opposed to something happening right now. Sacraments really require a higher view of church, the Clergy, and tradition. Puritans had low views of all of these.
Many Protestants certainly do understand two very important things as Sacraments, Baptism and Holy Communion. Christ himself instituted both of these things, and calls us to celebrate them. It wasn't until about the 18th Century that Roman Catholics actually began to understand 7 sacraments; prior to that, Roman Catholics also understood there to be only 2 sacraments.
United Methodists do recognize other things as rites or traditions of the church; including Marriage, Ordination, etc.