Three Vintage Royal Artillery Cloth & Metal Badges

First of the 3 badges is an embroidered cloth badge, comes in a good size and has been attached to a uniform showing signs of wear with rough edges it measures 3.25 inches x 3, the second is what appears to be a home made hand painted with gold paint cloth badge for the Royal Artillery Association, it has a pop stud sewn onto the back to simply 'pop' onto a hat or uniform, the third is a brass and enamel sweetheart badge which comes in good condition and measures just over 2 centimeters long.