There are differences between Reformed and Calvinistic Baptists.
The term "Reformed Baptists" is of very recent vintage. It seems only to date from the 1960s when Welshman Geoff Thomas and some American Baptists who were studying at the Westminster Seminary, were told by some fellow-students that they were not Reformed because they were not paedo-baptists. On the contrary, they replied, we are Reformed Baptists. We believe in all the Reformed doctrines, but we have completed the Reformation by ditching the last remnant of Romanism - paedo-baptism.
So Reformed Baptists, of whom I am one, follow the 1689 Confession which is very similar to the Westminster Confession, save for Presbyterianism and baptism. That includes Covenant Theology and the Regulative Principle of Worship. Someone like John MacArthur is a Calvinistic Baptist, but not Reformed because he is Dispensational.