Translation help

I need help with the following two paragraphs.

游が持つ、たった一枚の家族写真。
そこに写る優しい義兄とはもう二度と会わないはずだった......。
けれど、大学生になった游は、義兄の大地と再会する。
男を渡り歩いていると誤解された 游はショックを受けるが、
[Yuu carries only one family photograph
The gently brother-in-law pictured in it was someone he'll never meet again.
However, once he became an university student, Yuu was reunited with 大地
, his brother-in-law.
The man wandered from place to place and Yuu who misunderstood (the situation?)
was shocked.]

大地の興味を繋ぎとめるために男 に抱かれ慣れている振りをする。
そんな游に大地は「俺だけに抱かれていろ」と。
本当のことを話せないまま、游の切ない想いは高まっていって-?!
[don't know how to translate this one]

What I also would like to know is- what does 大地 (daichi) mean?
Is it a name or does it really mean "earth/ground/vastland."

游が持つ、たった一枚の家族写真。
そこに写る優しい義兄とはもう二度と会わないはずだった......。
けれど、大学生になった游は、義兄の大地と再会する。
男を渡り歩いていると誤解された 游はショックを受けるが、
[Yuu has only one family photograph
The gentle/kind brother-in-law pictured in it was someone she was supposed never to meet again...
However, once she became an university student, Yuu encounters Daichi again, her brother-in-law.
Yuu, misunderstood (by Daichi) to be wandering from one man to another, was shocked, but]

大地の興味を繋ぎとめるために男 に抱かれ慣れている振りをする。
Just to keep Daichi's interest (in her), she pretends to be used to be in men's arms.

そんな游に大地は「俺だけに抱かれていろ」と。
To Yuu, who behaves like that, Daichi says "you stay only in my arms." ("This is where you belong.")

本当のことを話せないまま、游の切ない想いは高まっていって-?!
Without ever being able to tell him the truth, Yuu's feelings (for Daichi) grow,

Is it a name or does it really mean "earth/ground/vastland."

"Daichi" is a male name, that means "earth," "the (mother) earth," expressing something solid and strong :)