The first form shown here was junto sono ichi, which is indeed from the Batto-Ho.
The second form I do not recognise as an MJER one.
The third form was Raiden from the Bangai No Bu (with an ukenagashi move in there that differs from the way I have been taught the form)
The fourth form looked like Zenteki Gyaku To from the Batto Ho No Bu Oku No Waza (except that the kessa cut went from left to right instead of right to left)
The fifth form was Yukichigai from the Tachiwaza No Bu.
The sixth form was Ukenagashi from the Tachiwaza No Bu but with the chiburi from the kneeling form.