Meaning of "cry creek" and "cock of the game"

Solution 1:

A "cock of the game" in this instance is a metaphor. It is saying that Cutio is a cock bred for fighting, so is strong and vicious. Wikipedia has an entry for gamecock that explains the literal meaning.

Euphues, on the other hand, is craven. The OED quotes this very passage, saying that this use of craven means "A cock that ‘is not game’"¹. So Euphues is neither strong nor vicious.

Cry creek, as StoneyB and TheMathemagician point out is equivalent to cry uncle² i.e. surrendering. The spelling recorded in the OED is "cry creak", but I doubt the difference is significant.

1. "craven, adj. and n.". OED Online. December 2012. Oxford University Press. http://www.oed.com/view/Entry/43949?rskey=2e1rZd&result=1&isAdvanced=false#eid7996461 (accessed February 25, 2013).

2. "creak, v.". OED Online. December 2012. Oxford University Press. http://www.oed.com/view/Entry/44017?rskey=VLZOjM&result=2&isAdvanced=false#eid8006475 (accessed February 25, 2013).