The second coming of that statement of faith is ambiguous. It could be the “Left Behind” second coming. Then it also could be a post-tribulational second coming which is more similar to Catholicism. I take it by that statement of faith that AOG churches are allowed to differ somewhat on the details of the second coming.
The Catholic end times which we refer as the Last Four Things, Death, Judgement, Heaven, and Hell.
Death: which consists in the separation of soul and body, is presented under many aspects in Catholic teaching, but chiefly as being actually and historically, in the present order of supernatural Providence, the consequence and penalty of Adam’s sin (Genesis 2:17; Romans 5:12, etc.); as being the end of man’s period of probation, the event which decides his eternal destiny (2 Corinthians 5:10; John 9:4; Luke 12:40; 16:19 sqq.; etc.), though it does not exclude an intermediate state of purification for the imperfect who die in God’s grace; and as being universal, though as to its absolute universality (for those living at the end of the world) there is some room for doubt because of I Thess., iv, 14 sqq.; I Cor., xv, 51; II Tim., iv, 1.
Particular Judgment:
That a particular judgment of each soul takes place at death is implied in many passages of the New Testament (Luke 16:22 sqq.; 23:43; Acts 1:25; etc.), and in the teaching of the Council of Florence (Denzinger, Enchiridion, no. 588) regarding the speedy entry of each soul into heaven, purgatory, or hell.
Heaven is the abode of the blessed, where (after the resurrection with glorified bodies) they enjoy, in the company of Christ and the angels, the immediate vision of God face to face, being supernaturally elevated by the light of glory so as to be capable of such a vision. There are infinite degrees of glory corresponding to degrees of merit, but all are unspeakably happy in the eternal possession of God. Only the perfectly pure and holy can enter heaven; but for those who have attained that state, either at death or after a course of purification in purgatory, entry into heaven is not deferred, as has sometimes been erroneously held, till after the General Judgment.
Hell, in Catholic teaching, designates the place or state of men (and angels) who, because of sin, are excluded forever from the Beatific Vision. In this wide sense it applies to the state of those who die with only original sin on their souls (Council of Florence, Denzinger, no. 588), although this is not a state of misery or of subjective punishment of any kind, but merely implies the objective privation of supernatural bliss, which is compatible with a condition of perfect natural happiness. But in the narrower sense in which the name is ordinarily used, hell is the state of those who are punished eternally for unrepented personal mortal sin. Beyond affirming the existence of such a state, with varying degrees of punishment corresponding to degrees of guilt and its eternal or unending duration, Catholic doctrine does not go. It is a terrible and mysterious truth, but it is clearly and emphatically taught by Christ and the Apostles. Rationalists may deny the eternity of hell in spite of the authority of Christ, and professing Christians, who are unwilling to admit it, may try to explain away Christ’s words; but it remains as the Divinely revealed solution of the problem of moral evil. (See HELL.) Rival solutions have been sought for in some form of the theory of restitution or, less commonly, in the theory of annihilation or conditional immortality. The restitutionist view, which in its Origenist form was condemned at the Council of Constantinople in 543, and later at the Fifth General Council (see APOCATASTASIS), is the cardinal dogma of modern Universalism, and is favoured more or less by liberal Protestants and Anglicans. Based on an exaggerated optimism for which present experience offers no guarantee, this view assumes the all-conquering efficacy of the ministry of grace in a life of probation after death, and looks forward to the ultimate conversion of all sinners and the voluntary disappearance of moral evil from the universe. Annihilationists, on the other hand, failing to find either in reason or Revelation any grounds for such optimism, and considering immortality itself to be a grace and not the natural attribute of the soul, believe that the finally impenitent will be annihilated or cease to exist – that God will thus ultimately be compelled to confess the failure of His purpose and power.