77 280z newbie

hey everybody. im new to the site just got my z finished up, its a 77 280 with a small block conversion and amuncie 4 speed. was originally yellow but we painted it a not so traditional plum crazy purple its deffinetly different. im new to the z car dont know much about them but would love to learn more. im having 2 problems, one when i turn on my headlights they work fine but once i turn on my highbeams they shut off completely, i still have taillights but no headlights, and the second is for some reason the key wont lock or unl;ock the doors, or hatch and wont turn the ignition past accy, do you think its the key? any help is greatly appreciated