From the SANDWICH ISLANDS we have news that the Expedition from California, which was noticed in our last record as being suspected of questionable designs, proves to be entirety innocent. It is said that they were invited over by the King, who desired to have a body of Americans there, in case his proposal for annexation to the United States should be accepted. They had arrived at Honolulu, and engaged peaceably in various pursuits. Some of the English residents evinced uneasiness at their arrival. A resolution had been adopted in Parliament, declaring that the demands of France were so unjust as to warrant the King, in case of necessity, in putting the Islands under the protection of some friendly power, and pledging the support of the nation to whatever he might think it proper to do. From MEXICO we have intelligence to the 20th of December. A riot occurred, in consequence of rumored misconduct of the French Consul, in importing goods without paying the duties upon them. Several persons were killed. News had been received of the success of the government troops who were sent to oppose Caravajal’s second attempt at insurrection in the northern departments. Congress closed its extra session on the 14th of December; the President, in his speech, said he should have been very glad to congratulate them upon the realization of important reforms, but he could not do so. No new sources of unhappiness, however, had arisen, and financial matters had been put upon such a basis, that the next Congress could solve existing difficulties. Harmony prevailed between the State and the Central Governments; the army had preserved the nationality of the country, when it was threatened on the frontier. The foreign relations of the republic were declared to be entirely satisfactory. Preparations had already been made for electing members of a new Congress, Subsequent accounts received from the northern departments, give the details of the success of the Government troops there. Caravajal was defeated, with a loss of sixty or seventy;—but he had not been apprehended, and at the latest advices, was expecting reinforcements. South America.