Baptism is an outward sign of an inward change. It is symbolic, yet also carries with it a spiritual component. Baptism is a practice of the church which employs a variety of methods which differ between various denominations.
To say that the Bible is inerrant is to say that there are no errors or mistakes in the Bible. The doctrine of inerrancy is inseparable from the doctrine of inspiration. It’s quite simple actually. If God told Moses to write something down and God is the author, then there can be no mistake because God is perfect.