I agree with your transcriptions and 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
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,
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.
In response to comments:
Deciphering the placename in the 2nd image is complicated by the descender from the previous line and the smudges. It might start with E but that's a guess from too small a sample.
I would increase the size of the that part of the image, break the word into (probable) letters and match each with known letter forms from elsewhere on the same page or nearby pages. For examples, see Did the spelling of this surname change or is it misread? and What is this first name for Gregorčič witness to marriage?.
I would also check German gazetteers for candidate placenames. Be creative with spelling. Check for older versions of the placename. Since the record has only 1 word (no Kreis or region), the place was somewhere nearby.