What are the connotations of "Pesorah"?
Rashi #1: It compares Bil'am to a moneychanger, 1 to whom everyone brings their coins (to check or to exchange), so too, did everyone bring Bil'am their letters to decipher.
Rashi #2 and Targum Onkelos: It is simply the name of the place where Bil'am lived. 2
A moneychanger used to sit in front of a table ('Pesorah' is also Arama'ic for 'a table'), on which all transactions were performed.
Targum Onkelos: Aram (Naharayim) on the River P'ras.
Targum Yonasan: Who was so evil that he actually went to curse the descendants of his own grandchildren!
See Ba'al ha'Turim.
What are the connotations of "Eretz B'nei Amo"?
Rashi (citing the Midrash Rabah) and Rashbam: It means that Bil'am hailed from the same town as Balak. 1
Ramban: It means from the land where Bil'am was born and where his lineage lay. 2
Targum Yonasan: It means that people from all over came and bowed down to him.
Id Bil'am was alias Lavan, why was he now called 'Bil'am'?
Targum Yonasan: 'Bil'am' is the acronym of 'Bala Am'
Why did Hakadosh-Baruch-Hu grant prophecy to a wicked Nochri?
Rashi: So that the Nochrim would not be able to claim that, had Hashem given them prophets, they would have followed the right path. So He gave them a prophet, and what did he do? He broke down the barriers of morality - inasmuch as previously, the people guarded themselves against Z'nus, and he came along and advised them to engage in it.
What are the implications of "Likro Lo"?
Rashi: It implies that Balak offered Bil'am a lot of money to come and curse Yisrael. 1
As the word "Lo" generally means 'for his benefit'
What did Balak mean when he said "Hinei Chisah es Ein ha'Aretz"?
Rashi: He meant metaphorically that Yisrael had defeated Sichon, who guarded them, and that they therefore constituted a threat to Mo'av.