New York, Juno 21. The pteamer Eaglo River briugs Habana datos to tlic 17th. The rebel Gen. Slaugliter was drken out of Brownsville by Lis own soldiers and had reached Havana. Jno. C. Breekenridgo, Col. Wood Paylor, Capt. Wilson, Aide de Catnp to Jeff. Davis, two soldiers and a negro, arrived at Cardinas in an open boat on the Llth, probably fnira the Florida coaat 3reckinridge wís aocompanied froin Cardinas by a Spanish offioor, charged by the Governor of Cardina to present him o the Captain General, and i now in Havana. The Haytien war eontiimed, but President Geffard's troops were vietorious in all engagements and the forces of the rebels were decreasing. The United States Steamcr Pallatin niglitly lands a forcé at Cape Haytian to aroteot the residence ot' the United States Consul. The news from Venezuela is of a satiafactory charaeter. Gen. Falcon has been eleoted President. A petition signed by most of tíie wealthy inliabitants of the. island of Cuba has been forwarded to Spain, asking that Gen. Pulce may not be superseded as Captain General. The weather at Havana is very warm, and there is the usual quantity of ycllow fever. Wm. T. Minor, United State Consul Genoral at Havana,, was a passenger on the Eagle.