Paedobaptism and Paedocommunion Questions

Hi all,

I have an honest question about infant baptism and infant communion. Please have patience with me as I do not have much training in Lutheran theology and am reasoning from a point of ignorance. I currently go to a Lutheran Church with my wife (whose whole family is Lutheran) and we have recently had our first baby! I grew up as a Baptist and still hold some of those beliefs so I am not yet terribly familiar with Lutheran Theology. As this is the case, I am trying to better understand infant baptism from the Lutheran perspective, to fully decide whether or not to baptize our baby girl (currently leaning towards yes, especially powerful to me is the argument based on church history). I was just wondering however why the practice of infant baptism does not result also in infant communion (which was also widely practiced in the ancient church but surely we can ditch this if we have sufficient theological and scriptural evidence) which is rejected by most, if not all, confessing Lutheran churches. My reasoning would go something like this:

1: We desire everyone, including infants, to come to God and be saved. Ordinary Salvation has been graciously given to us by God through Baptism.

2: Baptism seems to require 2 components on the part of the baptized, faith and repentance (See Mark 16:16 and Acts 2:38) and anyone who has these two elements should be baptized

3: In opposition to the Baptists who would argue that infants do not have faculties for true faith and repentance, from what I gather Lutherans seem to believe and expect that God gives infants, especially those of believing parent(s), faith (and presumably repentance? If not I fail to understand how there would not be two kinds of baptism, one for older folks who can have both faith and repentance and one that does not require repentance which seems to be not scriptural but perhaps I am in clear error).

4: Therefor we should baptize our infants

5: If we baptize our infants, they should be considered believers and are incorporated into the company of believers for all believers are of one body.

6: All believers should undergo he eucharist (see Luke 22:19-20, 1 Corinthians 10:16-17, this is also just a common tradition) in remembrance of Christ and all he did.

7: Infants should therefor undergo communion

Lutherans, as far as I can see, would soundly reject this logic. One obvious argument against this would be to argue against point 6 and state that only those who are able to discern should be able to take communion lest we facilitate judgement on that person (see 1 Corinthians 11:28-29. However, if we believe and expect that God can give faith and repentance (which unless I understand repentance incorrectly seems to require some ability to self examine and turn from evil) as detailed above, why do Lutherans not expect that God will grant infants the ability to examine oneself for communion? If Jesus/the father love the little children enough to supply what they need for baptism, why wouldn't he do the same for communion so that they can be blessed in remembering him as seems to be a huge point of the sacrament? To say they should not seems very close to a baptistic argument.

Anyways, I am sure that my understanding of Lutheran theology is lacking substantially and I'm sure there are several points where I am wrong but how else can I learn? Thanks to all who read this very long post and thanks again to all who reply!

God Bless!