If you don't have a sim card, will your bluetooth not work?

Iphone 5 (or any iphone in general), no internet as well?

Sgshh

Yes, It's possible to send pictures, videos etc.etc… Via bluetooth without simcard.

If you do not have a simcard, you will not be able to receive phonecalls, get data, (internet everywhere) or get text messages. You will be able to use Wi-Fi spots and bluetooth. (your iphone will basically become an ipod touch).

SIM is unrelated to bluetooth.
3G/4G wouldn't work. Wi-Fi will.