Hello everyone! I need help again with the chapter I'm reading. I hope these won't be too much.
1.
http://i.imgur.com/A1HyR.jpg
a/ つまり一・二を争うほどラッキーってことだ！！
What does the guy mean by 一・二を争う?
b/ カホーはネテマテ！
The author made the girl pronounce the words incorrectly on purpose, and I have no way to figure out what she's saying with my current vocabulary. Does anyone have an idea about this one?
2.
http://i.imgur.com/fzp1s.jpg
http://i.imgur.com/z0BHD.jpg
Similarly, what may パネェ and ジモティ be?
3. もし梨沙に僕と同い年くらいの友達がいたら服を買うの に連れてく店を教えてよ！！
I don't really understand the structure of the line, so I'm taking a guess. Does the speaker mean "Tell me a shop you would take a friend of the same age to if you were with her and were going to buy clothes"?
4.
http://i.imgur.com/EBArd.jpg
Honestly I don't understand most of the last line, but for now I'm going to ask about the phrases that bug me the most.
a/ What does 端的に内なる mean?
b/ Does 無理なく mean "reasonable"?
c/ I notice that the particle before 思う is に, not と. Does it mean any different?
5. 三次元との恋は所詮ムリゲーだった。二次元の謎は萌え るのに三次元のはダメなのかフシギだ…
Is ゲー here sort of like よう or そう? Or is it something else?
6. A : な…何でここに！？
B : 何って大学のサークルの集まりだよ
Does 大学のサークルの集まり mean a meeting of a university circle?
7.
http://i.imgur.com/46B3E.jpg
http://i.imgur.com/LrL8f.jpg
a/ Since I saw the word 理系 here, I would like to ask about how subjects are divided in the Japanese University Entrance Exam out of curiosity. Is it just 理系 and 文系? Or is there still more to it?
b/ My dictionary says インカレ means "intercollegiate", but I'm still confused. What might the guy mean when he says "ウチインカレサークルなんだよ"?
c/ Lastly, does ついで in the context mean "occasion"?