how did this country get its name?
It is named after the namesake river.
Uruguay
The name of the namesake river comes from the Spanish pronunciation of the regional Guarani word for it. 
how many times has the host nation won the world cup Brazil has won five times. what sports is the cup related to? Football when did this cup begin? 1930 which organization arranges this tournament? FIFA what is the eligibility criteria to compete for this cup? A qualifying tournament is played. did it face any corruption issues? Yes, in 2015 it faced allegations and criminal charges of bribery, fraud and money laundering. where was the first world cup held? Uruguay can you mention any geographical feature of this country? Its highest point is the Cerro Catedral, whose peak reaches AMSL in the "Sierra Carapé" hill range.
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Uruguay [SEP] Etymology
The name of the namesake river comes from the Spanish pronunciation of the regional Guarani word for it. There are several interpretations, including "bird-river" ("the river of the '", via Charruan, ' being a common noun of any wild fowl). The name could also refer to a river snail called "" ("Pomella megastoma") that was plentiful in the water. In Spanish colonial times, and for some time thereafter, Uruguay and some neighbouring territories were called the Cisplatina and ' ("East Bank [of the Uruguay River]"), then for a few years the "Eastern Province". Since its independence, the country has been known as ', which literally means "the eastern republic of the Uruguay [River]".