If your battery is any good the battery should handle a minute draw for a month easy. Disconnect the battery ground and install a test light between the battery terminal and the cable, if the light comes on bright you have a draw that will drain the battery. Make sure nothing is on such as dome lights. Then start eliminating (disconnecting) things until the light goes out. A very dim or pulsating light is common on such things as computers and radio memories but should not cause a good battery problems. Scott