Times of Salaah

OCD problem

Q: This morning I thought fajar happened around 6:35 so when I woke up around 6 I thought there was still time to pray. I went and made wudu and I am kind of sure that the sky was dark but there was like a very faint light when I started. I didn't think it was that late so I started praying. I struggle with OCD so it takes me a while to pray even four rakaat and when I was done the sky was still dark but it was a lighter blue colour. Did I pray at a forbidden time? Did my namaaz not count? I am so doubtful and my OCD makes everything so hard can you please tell me what I should do? If I have to repent or make it up do I read the prayer of repentance after making wudu?

Joining two Salaahs

Q: I have heard one is able to join prayer like zuhr and asr when need be. I am a student and I can never get any work done at home so I go to the library. Only the time between the two namazes are like three hours. Is it ok for me to join the two in this case because that gives me so much more time to sit there and get my work done?

Joining two Salaahs in one time

Q: Please advise on the ruling regarding joining of Salaahs when one is a musaafir. Most people join their salaah saying it is permitted as a musafir and better to join than miss it. And in which circumstances will it be permissible to join? If a person joins their Salaah regularly as a musafir will the salaah be valid?

When does Tahajjud time end?

Q: I have two questions which I kindly request you to answer me.

1. I have doubt regarding tahajjud Salaah. I want to know when it exactly ends. Say the fajr Salaah starts at 5.23 am in where I live , now. Till wheat time then can we pray tahajjud Salaah? I want to know the timing so I can rectify if I make any mistakes.

2. Can we recite salawatun naariya with a particular niyat to be fulfilled? Where I live people recite it 4444 times with a particular niyat he or she has. Is it permissible?