I'll go check out/call somebody over

[Saneta]

http://www.english-test.net/toeic/listening/a_couple_are_discussing_how_to_buy_movie_tickets_more_quickly.html

1.Why don't you stay in line, and I'll go check out that automatic ticket machine.
Shouldn't it be:
Why don't you stay in line, and I'll go to check out that automatic ticket machine.?

2. please explain: call somebody over

Thank You

[Beeesneees]

'I'll go check out' is typical American phrasing to my knowledge.

I'll call you over - I'll attract your attention (not necessarily by calling out) to tell you to come to me.
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Cheers m' dears!