You missed the deity of Christ as the primary fundamental of the faith. So alongside that is belief in the Holy Trinity. Also, there are others who give a different list for the five basic doctrines. And there are some who say they are Christians but reject the substitutionary atonement (or penal substitution) of Christ. A better understanding of Fundamentalism is given in this Statement of Faith (where I have provided the sub-headings):
THE DOCTRINAL STATEMENT OF THE WORLD CONFERENCE ON CHRISTIAN FUNDAMENTALS. MAY 25–31, 1919, IS AS FOLLOWS:
AUTHORITY OF SCRIPTURE
1. We believe in the Scriptures of the Old and New Testaments as verbally inspired of God, and inerrant in the original writings, and that they are the supreme and final authority in faith and life.
THE HOLY TRINITY
2. We believe in one God, eternally existing in three persons, Father, Son and Holy Spirit.
THE DEITY OF CHRIST
3. We believe that Jesus Christ was begotten by the Holy Spirit, and born of the Virgin Mary, and is true God and true man.
THE FALLEN STATE OF MANKIND
4. We believe that man was created in the image of God, that he sinned and thereby incurred not only physical death, but also that spiritual death which is separation from God, and that all human beings are born with a sinful nature, and, in the case of those who reach moral responsibility, become sinners in thought, word, and deed.
THE SUBSTITUTIONARY SACRIFICE OF CHRIST
5. We believe that the Lord Jesus Christ died for our sins according to the Scriptures as a representative and substitutionary sacrifice; and that all who believe in Him are justified on the ground of his shed blood.
THE BODILY RESURRECTION OF CHRIST
6. We believe in the resurrection of the crucified body of our Lord, in His ascension into heaven, and in His present life there for us, as High Priest and Advocate.
THE PREMILLENIAL RAPTURE OF THE CHURCH
7. We believe in “that blessed hope,” the personal, premillennial and imminent return of our Lord and Saviour Jesus Christ.
REGENERATION THROUGH THE NEW BIRTH
8. We believe that all who receive by faith the Lord Jesus Christ are born again of the Holy Spirit, and thereby become the children of God.
THE RESURRECTION OF THE JUST AND THE UNJUST
9. We believe in the bodily resurrection of the just and the unjust, the everlasting blessedness of the saved, and the everlasting, conscious punishment of the lost.
Fundamentalists believe that the plain literal meaning of Scripture must always be accepted first (which would include any metaphors or figures of speech) and before any interpretation and application.
Even that which may be considered as *cultural* could have a biblical basis. As you can see the five fundamentals are only the starting point. There is a lot more to Fundamentalism. But you will also find that most of the books which discuss Fundamentalism try to present it in the worst possible light. Some Leftists even try to equate Christian Fundamentalism with Islamist Fundamentalism.