From CALIFORNIA we have intelligence to the 1st of March. The steamship North America running from Panama to San Francisco, went ashore on the 28th of February, about seventy miles south of Acapulco. The vessel is a total loss; she had over 750 passengers, all of whom were saved.----Both political parties in California had chosen delegates to the National Conventions. No further injury had been sustained from attacks of the Indians, and in the southern part of the State every thing was quiet. Mr. Bartlett, of the Boundary Commission, had reached San Francisco, after a very severe journey across the desert. A bill was pending in the Legislature authorizing the call of a State Convention to revise the Constitution, and the project of dividing the State continued also to be pressed. Crime had increased considerably in San Francisco, and the Vigilance Committee had again been organized. The anniversary of Washington's birthday was celebrated at that city with great spirit. Col. Berzenczey, who came to the United States in Kossuth's suite had arrived at San Francisco on his way to Chinese Tartary, which he intends to explore in order to discover, if possible, the origin of the Magyar race: it has been stated that a tribe of Magyars still exists in some part of that vast and unknown region. The United States sloop of war St. Mary's had reached San Francisco, under orders to take on board and return to their homes a number of shipwrecked Japanese. From the mines the news is not important. Owing to lack of rain the labors of the miners had been less productive than usual. Rich quartz veins continue to be found, and very extensive preparations are being made for working them. The whole amount of gold exported from San Francisco during the year ending December 31, 1851, was $34,492,633. Judge Tefft, with three other persons, was drowned, while attempting to land from the Ohio at San Luis Obispo, in a small boat--the surf being high. MEXICO. We have news from the City of Mexico to the 28th of February. Both Houses of Congress had voted the suppression of the justices of the peace, but the Government had refused its sanction to the act. It is stated that claims to the amount of twenty or thirty millions of dollars will be brought against the United States, under the treaty of Guadalupe Hidalgo, for outrages committed by Indians and invaders on the frontier. The administration of Gen. Arista is losing strength, and rumors were current of new plans of revolution of which Santa Anna is at the head.