not professional video camera.

1. 可否带有长焦的相机, 如 70~100mm, 或80~300mm;

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

2. 可否带家用摄像机,

if it is small video camera, why not?

3. 什么是 still camera, 是傻瓜机吗, 傻瓜机有变焦可以吗?

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

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