The rumors spread about early Christian worship

Everywhere also there is mingled among them a certain religion of lust, and they call one another promiscuously brothers and sisters, that even a not unusual debauchery may by the intervention of that sacred name become incestuous:  it is thus that their vain and senseless superstition glories in crimes.  Nor, concerning these things, would intelligent report speak of things so great and various, and requiring to be prefaced by an apology, unless truth were at the bottom of it.  I hear that they adore the head of an ass, that basest of creatures, consecrated by I know not what silly persuasion,—a worthy and appropriate religion for such manners.  Some say that they worship the virilia of their pontiff and priest, and adore the nature, as it were, of their common parent.  I know not whether these things are false; certainly suspicion is applicable to secret and nocturnal rites; and he who explains their ceremonies by reference to a man punished by extreme suffering for his wickedness, and to the deadly wood of the cross, appropriates fitting altars for reprobate and wicked men, that they may worship what they deserve.  Now the story about the initiation of young novices is as much to be detested as it is well known.  An infant covered over with meal, that it may deceive the unwary, is placed before him who is to be stained with their rites:  this infant is slain by the young pupil, who has been urged on as if to harmless blows on the surface of the meal, with dark and secret wounds.  Thirstily—O horror!—they lick up its blood; eagerly they divide its limbs.  By this victim they are pledged together; with this consciousness of wickedness they are covenanted to mutual silence. Such sacred rites as these are more foul than any sacrileges.  And of their banqueting it is well known all men speak of it everywhere; even the speech of our Cirtensian testifies to it.  On a solemn day they assemble at the feast, with all their children, sisters, mothers, people of every sex and of every age.  There, after much feasting, when the fellowship has grown warm, and the fervour of incestuous lust has grown hot with drunkenness, a dog that has been tied to the chandelier is provoked, by throwing a small piece of offal beyond the length of a line by which he is bound, to rush and spring; and thus the conscious light being overturned and extinguished in the shameless darkness, the connections of abominable lust involve them in the uncertainty of fate.  Although not all in fact, yet in consciousness all are alike incestuous, since by the desire of all of them everything is sought for which can happen in the act of each individual.

Minucius Felix
Octavius
Chapter IX

Baptism is a new birth into the Church, our Mother

Therefore, blessed ones, whom the grace of God awaits, when you ascend from that most sacred font of your new birth, and spread your hands for the first time in the house of your mother, together with your brethren, ask from the Father, ask from the Lord, that His own specialties of grace and distributions of gifts may be supplied you. “Ask,” saith He, “and ye shall receive.” Well, you have asked, and have received; you have knocked, and it has been opened to you.  Only, I pray that, when you are asking, you be mindful likewise of Tertullian the sinner.

Tertullian
On Baptism
Chapter XX

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

We are cleansed through Baptism to receive the Holy Spirit which connects us to the Church

Not that in the waters we obtain the Holy Spirit; but in the water, under (the witness of) the angel, we are cleansed, and prepared for the Holy Spirit. In this case also a type has preceded; for thus was John beforehand the Lord’s forerunner, “preparing His ways.” Thus, too, does the angel, the witness of baptism, “make the paths straight” for the Holy Spirit, who is about to come upon us, by the washing away of sins, which faith, sealed in (the name of) the Father, and the Son, and the Holy Spirit, obtains.

Moreover, after the pledging both of the attestation of faith and the promise of salvation under “three witnesses,” there is added, of necessity, mention of the Church; inasmuch as, wherever there are three, (that is, the Father, the Son, and the Holy Spirit, ) there is the Church, which is a body of three.

Tertullian
On Baptism
Chapter VI

Confession is a second reserve against hell after Baptism

Therefore, since you know that after the first bulwarks of the Lord’s baptism there still remains for you, in exomologesis a second reserve of aid against hell, why do you desert your own salvation? Why are you tardy to approach what you know heals you?

Tertullian
On Repentance
Chapter XII

Confession is on the knees before other Christians who stand in Christ’s stead

In a company of two is the church; but the church is Christ. When, then, you cast yourself at the brethren’s knees, you are handling Christ, you are entreating Christ. In like manner, when they shed tears over you, it is Christ who suffers, Christ who prays the Father for mercy.

Tertullian
On Repentance
Chapter X

The Lord gave the keys to heaven to Peter, then to the Church, then to every believer

For though you think heaven still shut, remember that the Lord left here to Peter and through him to the Church, the keys of it, which every one who has been here put to the question, and also made confession, will carry with him.

Tertullian
Scorpiace
Chapter X