the first hose is 100% correct. it is the coolant overflow hose.
When your engine coolant gets hot it expands into the overflow, if the overflow bottle is too full then it needs to drop some coolant, the hose your holding in the photo allows this by going nowhere, so the coolant flows out onto the road therefore correcting the level in the bottle.
i think the next 2 hoses are meant to be attatched to each other, but I'm not 100% on that. I do know they are for your fuel system though.