"birinci" is normally used when you are talking about the physical position of something as compared to something else or for counting things. (Like the 1st floor).
In terms of just something that happened before other things, you would use "ilk." It is a bit more temporal instead of spacial in meaning, I suppose. :)
It's 'sight + at'.
görüş = view, sight, opinion. (https://en.wiktionary.org/wiki/g%C3%B6r%C3%BC%C5%9F)
The -te is not dative, but rather the locative ending, the e harmonising with the ü of görüş and the d mutating into a t due to the unvoiced final consonant, ş (http://www.turkishlanguage.co.uk/conmut.htm).