Exhortation to Deacons and Priests

Exercise the mystery of Christ, O deacons, with purity; therefore, O ministers, do the commands of your Master; do not play the person of a righteous judge; strengthen your office by all things, as learned men, looking upwards, always devoted to the Supreme God.  Render the faithful sacred ministries of the altar to God, prepared in divine matters to set an example; yourselves incline your head to the pastors, so shall it come to pass that ye may be approved of Christ.

Commodianus
Instructions of Commodianus
chapter LXVIII

Anyone can perform a baptism but it’s proper for the priests and deacons to

For concluding our brief subject, it remains to put you in mind also of the due observance of giving and receiving baptism. Of giving it, the chief priest (who is the bishop) has the right: in the next place, the presbyters and deacons, yet not without the bishop’s authority, on account of the honour of the Church, which being preserved, peace is preserved. Beside these, even laymen have the right; for what is equally received can be equally given. Unless bishops, or priests, or deacons, be on the spot, other disciples are called i.e. to the work. The word of the Lord ought not to be hidden by any: in like manner, too, baptism, which is equally God’s property, can be administered by all. But how much more is the rule of reverence and modesty incumbent on laymen—seeing that these powers belong to their superiors—lest they assume to themselves the specific function of the bishop! Emulation of the episcopal office is the mother of schisms.

Tertullian
On Baptism
Chapter XVII

Christians fast and remain virgins as a longing for the greater things experienced in heaven hereafter

We even, as we may be able, excuse our mouths from food, and withdraw our sexes from union. How many voluntary eunuchs are there! How many virgins espoused to Christ! How many, both of men and women, whom nature has made sterile, with a structure which cannot procreate! Now, if even here on earth both the functions and the pleasures of our members may be suspended, with an intermission which, like the dispensation itself, can only be a temporary one, and yet man’s safety is nevertheless unimpaired, how much more, when his salvation is secure, and especially in an eternal dispensation, shall we not cease to desire those things, for which, even here below, we are not unaccustomed to check our longings!

Tertullian
On the Resurrection of the Flesh
Chapter LXI

The body makes is possible for the soul to be saved through the sacraments of the Church

And since the soul is, in consequence of its salvation, chosen to the service of God, it is the flesh which actually renders it capable of such service. The flesh, indeed, is washed, in order that the soul may be cleansed; the flesh is anointed, that the soul may be consecrated; the flesh is signed (with the cross), that the soul too may be fortified; the flesh is shadowed with the imposition of hands, that the soul also maybe illuminated by the Spirit; the flesh feeds on the body and blood of Christ, that the soul likewise may fatten on its God. They cannot then be separated in their recompense, when they are united in their service. Those sacrifices, moreover, which are acceptable to God—I mean conflicts of the soul, fastings, and abstinences, and the humiliations which are annexed to such duty—it is the flesh which performs again and again to its own especial suffering.  Virginity, likewise, and widowhood, and the modest restraint in secret on the marriage-bed, and the one only adoption of it, are fragrant offerings to God paid out of the good services of the flesh.

Tertullian 
On the Resurrection of the Flesh
Chapter VIII

Holy orders mentioned. Salvation can be lost.

But what if a bishop, if a deacon, if a widow, if a virgin, if a doctor, if even a martyr, have fallen from the rule (of faith), will heresies on that account appear to possess the truth? Do we prove the faith by the persons, or the persons by the faith?  No one is wise, no one is faithful, no one excels in dignity, but the Christian; and no one is a Christian but he who perseveres even to the end.

Tertullian
Against Marcion
The Prescription Against Heretics
Chapter III

Administration of the Sacraments

But we, after we have thus washed him who has been convinced and has assented to our teaching, bring him to the place where those who are called brethren are assembled, in order that we may offer hearty prayers in common for ourselves and for the baptized [illuminated] person, and for all others in every place, that we may be counted worthy, now that we have learned the truth, by our works also to be found good citizens and keepers of the commandments, so that we may be saved with an everlasting salvation. Having ended the prayers, we salute one another with a kiss.There is then brought to the president of the brethren bread and a cup of wine mixed with water; and he taking them, gives praise and glory to the Father of the universe, through the name of the Son and of the Holy Ghost, and offers thanks at considerable length for our being counted worthy to receive these things at His hands. And when he has concluded the prayers and thanksgivings, all the people present express their assent by saying Amen. This word Amen answers in the Hebrew language to γένοιτο [so be it]. And when the president has given thanks, and all the people have expressed their assent, those who are called by us deacons give to each of those present to partake of the bread and wine mixed with water over which the thanksgiving was pronounced, and to those who are absent they carry away a portion.

Justin Martyr
First Apology
Chapter LXV

The Resurrection is both physical and spiritual

I salute your most worthy bishop, and your very venerable presbytery, and your deacons, my fellow-servants, and all of you individually, as well as generally, in the name of Jesus Christ, and in His flesh and blood, in His passion and resurrection, both corporeal and spiritual, in union with God and you. Grace, mercy, peace, and patience, be with you for evermore!

Ignatius of Antioch
Epistle to the Smyrneans
Chapter XII