Emacs and C++

Hello to everyone!
I'm new in Emacs and I use it mostly for C++ coding. Here are some
questions:

1. Is there a project manger for Emacs which can organize files into
tree (with "sources", "headers" subtrees) and allow to open all files
in project with only one command. 

2. Almost all commercial IDE have a feature called "tagging". For
example, when cursor is on function's prototype I can easily jump to
function's definition with only one command. And I can bring a menu of all
functions and classes in my source files and quickly jump to any of
them. Is there such feature for Emacs?

3. How can I run my console program in Emacs console instead of
default terminal emulator (such as xterm)?

4. How can force Emacs to automatically save current session and open it on
next start?

5. Is there font-lock mode designed especially for C++ (the default one
isn't powerful enough) ?

6. How can indent using spaces (4 spaces in one tab) but when I press
Backspace after indenting it will erase 4 spaces (as if I inserted tab
character) ?

7. Is there "symbol auto-completion" for Emacs?

And here are some questions about editing simple text:

8. What spell-checkers does Emacs support?

9. How can I set small left margin in Emacs editing window thus making text
start not from the edge of screen but some millimeters from it?

Thanks for your answers!