Should I restart fasting the consecutive vow days and performing their nights from the beginning if I missed the night prayer on one of the nights, knowing that I only intended it and prayed Fajr after sunrise?

Whoever vows obedience to Allah, must fulfill it in the manner in which it was vowed, for the Prophet, peace and blessings be upon him, said: "Whoever vows to obey Allah, let him obey Him." So, if one intended to fast and pray Qiyam (definition) for consecutive days, and then missed praying Qiyam on one night without an excuse, he must start anew to complete the period consecutively. The vow must be fulfilled in the manner in which its owner vowed it, so what he vowed to do at night must be done at night.