not professional video camera.

1. 可否帶有長焦的相機, 如 70~100mm, 或80~300mm;

相機 is still camera, generally, using 35mm film. If your zoom lens is for
professional video camera, that is different.

2. 可否帶家用攝像機,

if it is small video camera, why not?

3. 什麼是 still camera, 是傻瓜機嗎, 傻瓜機有變焦可以嗎?

NIKON N55, N65, N75, N80, ..., CANON EOS Rebel, Elan, ..., those 35mm SLR
cameras, plus most digital cameras, 傻瓜機 are still cameras.

They may just prevent you to make video tapes for commercial purpose.