Regarding your second question: yes, at least partially. Obviously the Visigothic king Roderic did not welcome the Muslims (Arabs isn't accurate, most of the soldiers were Berbers), but because of the generous terms offered to cities that accepted Muslim rule, many opened their doors without a fight. The entire invading army was only a few thousand strong. There would have been no way that such a small invading force could conquer the entire Iberian Peninsula so quickly if there was native resistance.