Conditions for the validity 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?

Pants below the ankles

Q:

1) If you pull up your pants to ensure that it remains above your ankles before going down for rukhu or sajda, does it break your salaat?

2) If your pants falls below your ankles while reading salaat, does it break your salaat?

3) If you perform salaat with your pants below the ankles, is your salaat valid?

4) what type of movements nullify salaat?