If you would miss classes, you can pray at the university.

In what circumstances is it obligatory to pray in the masjid? Because there is a masjid 15 min from the university but sometimes I’m in class. Do I have to leave the class? Note that there is 15(going)+15(returning)+10(of salah) minutes. Or can I pray in the university when the class is finished providing that I do not delay the time of the prayer?

Prayer | September 9, 2016 2:42 pm
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During Fajr I was very gassy & broke wudhu once. 2nd time I broke, I felt the urge to go to toilet but I have irritable bowel, I thought Fajr time would pass so just did Wudhu. 3rd time I broke, there’s no urge to go to toilet so 4th time in wudhu I just clenched hard. I felt that maybe some wind passed but I just clenched hard & ignored & prayed. Should I redo Salah?
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The imam who lead the jummuah prayer today tends to move during his qiyam ( like rocking on his heels). It is minor, but noticable. Is my prayer valid? Or is this from shaytan?