Short answers, pulled from the story.
Joseph Goebbels coined the term Nationalists during a visit by Captain Francisco Arranz to Nazi Germany on the 24th of July 1936. The rebel faction leaders immediately embraced this new terminology after Bishop Enrique Pla y Deniel had previously called them Crusaders.
Franco announced a decree unifying political movements under the name Falange Española Tradicionalista y de las JONS in 1937. This decision caused initial fury among both Falangists and Carlists who saw their ideological role usurped by the Catholic Church.
More than 13,000 Moroccan troops were airlifted on 20 Junkers Ju 52 planes supplied by Hitler between July and October 1936. One in five members of the Army of Africa died during the war, which was a casualty rate twice as high as peninsular forces within the Nationalist faction.
Nazi Germany supplied tanks including Panzer I models and aircraft like Messerschmitt Bf 109 fighters while Italy formed an expeditionary force of 35,000 Italians known as the Corpo Truppe Volontarie. Portugal's Estado Novo regime also provided critical logistical support through a volunteer force ranging from 8,000 to 12,000 men called Viriatos.
By 1938, the Holy See became one of the first states to officially recognize Franco's Spanish State after allowing its pavilion to display under the Vatican flag at an International Art Exhibition in Paris in 1937. Religious persecution was squarely blamed on the Republic government by conservative traditionalists and pro-monarchic groups.