The SPH-i700 does not, as far as I can tell, have any speakerphone capability. This is, in my opinion, the phone's one glaring oversight.
Next, you can certainly send a picture via email, in fact there's an icon on the bottom of the screen when you view a picture that pops the picture into a new message as an attachment, ready for you to address and send.
Finally, I have setup three (3) POP3 mail accounts on my SPH-i700. The software is all there and ready to go.
If you press and hold your phone button; the one above the calendar button, your speaker phone will come on. Enjoy!