Pi2 kali2

So I downloaded kali2 for raspi2 and saw that size was about 1 gb... searched a bit... so im gonna list a few things please correct me if im wrong..

1. The 1 gb img doesnt have the kali tools that the iso we install on pc have
2. To get those tools I have to get kali metpaskage called "kali-linux-full" which needs 9 gb size installed...
3. My sd card is 16 gb so it will fit in nicely..

Am I right or am I wrong??

And one last question.. does the dd if=img of=sdcard create a persistant install.. I mean one the if I restart my pi the things I worked on will be saved..

Thanks ;);)