Becoming Junub at dawn and not realizing it until noon

Q 1: Once, while I was in the desert, I woke up to perform Fajr (Dawn) Prayer and made Wudu' (ablution) and offered Salah. Then, one hour before the time of Zhuhr (Noon) Prayer, I realized that I had a wet dream the previous night, but there was no water at that time. Therefore, I made Tayammum (dry ablution with clean earth) and repeated Fajr Prayer. It is worth mentioning here that I knew that water would be available after Zhuhr (Noon) Prayer. When water became available, I performed Wudu' but not Ghusl (full ritual bath) due to my ignorance. Then I performed Zhuhr (Noon) and `Asr (Afternoon) Prayers. Am I sinful? May Allah bless you. It should be mentioned that I do not know when I performed the first Ghusl after that event. May Allah reward you with the best.

A: Your Wudu' for the Fajr, Zhuhr and `Asr Prayers while you were Junub (in a state of post-sexual ritual impurity) is not sufficient to remove Janabah (major ritual impurity related to sexual discharge), nor discharge your obligation of performing these Salahs, even if you did not know that you were Junub when you were performing Wudu' because you later realized that you had performed these Salahs without being ritually pure. It is well known that Janabah is only removed by making Ghusl or Tayammum in case of absence of water or the inability to use it. The same applies to your Tayammum to repeat Fajr Prayer one hour before the time of Zhuhr and after you knew that (Part No. 4; Page No. 166) you had a wet dream and that water would be available after the Zhuhr Prayer. It is not valid for you in this state nor remove the state of Janabah. You are regarded the same as a person who can find water due to being about to obtain it. Furthermore, the time of Fajr Prayer was over, and so its time in your case was once you remembered that you had a wet dream. There is nothing wrong with delaying offering Fajr Prayer a little for the sake of bathing with water in order to be in a state of perfect Taharah (ritual purification). Accordingly, you have to repeat Fajr, Zhuhr, and `Asr Prayers after being ritually pure from the major and minor ritual impurity. As for the Salahs you performed afterwards and before making Janabah Ghusl which you cannot remember their number, it is preferable for you to repeat the Salahs you think you offered while being Junub after performing Wudu' or making Ghusl if you were Junub. There is no blame on you about this because you are excused due to your ignorance.May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.