How to translate squire and page
For this kind of thing you can check out 91dict.com.
The subtitle group 人人影视字幕组 have complied a dictionary from their subtitle translations.
For instance if you look up squire under 基本释义 we get:

n. 乡绅；侍从；大地主；地方法官
vt. 随侍；护卫
n. (Squire)人名；(英)斯夸尔

and under 场景例句 there are example sentences from Game of Thrones including:

来自《冰与火之歌：权力的游戏 第4季 第3集》
There has never lived a more loyal squire.
世上从无你这般忠心的侍从

and

He was a squire until a few months ago.
他之前一直是侍从 数月前才受封

Seems like they really like 侍从 for squire.

For page they give:

男侍者