In Connecticut there was no choice by the people of State officers at the late election. Hon. THOMAS H. SEYMOUR, the Democratic candidate, has been re-elected as Governor by the Legislature. The Democratic candidates for Secretary and Comptroller, and the Whig candidates for Lieutenant-Governor and Treasurer, were elected by the Legislature. In his Message the Governor represents the finances of the State to be in a prosperous condition; recommends the passage of general corporation and banking laws; and of a law limiting the hours of labor, to contain a provision making it a misdemeanor to work children under fourteen years of age more than eight hours a day. He speaks in favor of the Compromise measures, which he says must be supported in good faith, or we can not hope to see this form of Government continue. "Whatever action then," he adds, "the Legislature may feel called upon to take, upon any of the questions to which reference has been made, I feel at liberty to indulge the hope that its course will be such as to place the State of Connecticut on patriotic and dignified ground in the presence of sister States and the nation, and the world." A Convention of the Southern Rights Association assembled at Charleston, May 5. There were between three and four hundred members in attendance. Ex-Governor J.P. RICHARDSON acted as President. In his address upon taking the chair, he said that the question was simply as to the time and manner of resistance. He spoke strongly of the want of affinity between the two sections of the country, and declared that no one should join together those whom God and nature have put asunder. A letter from Hon. LANGDON CHEVES was read, deprecating separate action on the part of South Carolina, which ought to wait awhile longer for the action of other States. An address and resolutions advocating the right and expediency of secession, were adopted. Mr. RHETT, one of the United States Senators from this State, has developed what he supposes to be the results of the policy of secession. Free trade would be proclaimed with all States south and west of the Potomac, and a duty of ten per cent. levied upon goods from the other States and from foreign countries. The result would be that goods would be twenty per cent. cheaper in Charleston than in New York. The trade of Georgia and North Carolina would be carried on with South Carolina; and it would not be in the power of the General Government to prevent it, by a line of custom-houses along the frontier. He declared the idea of a blockade of the ports of South Carolina to be ridiculous. Blockade was war, and Congress alone could declare war; and Congress must either let them go peaceably out of the Union or fight; and fight they would in defense of their rights, liberties, and institutions; and even if South Carolina should be subdued, the Union was not preserved; other Southern States would join in the contest. Should that State secede and remain for five