I agree with your transcriptions amd abbreviation interpretations. For the 3rd image, you have an unnecessary repeat of April and a missing phrase:

> Montag d[en] 23t[en] April ist Joh. Jost Schmidt eine Tochter
> getauft[,] hat gehoben[?] das Kind als Mutter Johannes Zekels[?] Frau
> vor ihre Schwester v[on] Kirchhain Joh. Wilhelm Schmitts Tochter und
> ist das Kind Anna Maria genan[n]t.

I'm interpreting this as the baby's aunt took the role of the mother at the baptism. The mother may still been incapacitated by the birth.

Regarding the multiple records created<br>
I can't explain this, may be unique to this region; can only recommend checking the record collection descriptions and, perhaps, regional research pages for Hesse.

Regarding your real question on identity,<br>
these all look to be the same family/individuals, but only looking at the whole community will reassure you as to the uniqueness of the name combinations.