JMcmphis, May a via Uairo, Several arreslB were made to-day of partics charged with smuggling contra band good to Foriest. 'I be execntion of Smith on Friday last, and the condemnation of anotlier man yesterday for this ofl'ence, gives signifieance to these arresta. Gen. Washburn is determined to break up the business of smuggling in this city. Military niovements are ou foot, but are contrabaod at present. Cairo, May 3. Bj the arrival of the stcainer Belle Memphis, we have one daya later new, from Meniphis, and advioeg from Alexaudria, lied Kifer, to the 24th A[iri!, at wbiob place Gen. Banks theu was in good posili"ti. The rebels had followed ouv forccs from Grand Ecoro, and wben near Cane river an engagement took place, in which the rebels lost one tbousand men and niue pieces of artillery. The gunboats are safe, notwitbstanding wild to the coutrary. We have news of a disaster to our armies in Arkansas. Mannaduke attaeked and captured a train with an escort, after a short fight. Keport fays be took 1,000 prisoners, 240 wagons, and seven pieces of artiilery. This needs coutirmation. Guerrillas bad l;tely captured and burned the steamer Hastines, and fired into the Benefit, killing the Captain and two others. It is iotimated tbat 1,200 bales of cotton were buint by the enemy in the vicinity of Camden previous to the evacuation. The H 'spital steamer MoDougal, arrived here from Vicksburg with 153 sick and wounded from Red River ; sixty nine left at noon.