Hello and welcome!
1. Open a terminal and input lspci, paste output here. Usually one does not
need to install drivers on a GNU/Linux system because they come with the
kernel. This might suggest that there is no free driver for your card. You
might want to try the latest Linux-libre kernel, e.g. from
http://jxself.org/linux-libre/
2. Edit your /etc/gdm/custom.conf as a super user, e.g. sudo nano
/etc/gdm/custom.conf and input
[daemon]
AutomaticLoginEnable=true
AutomaticLogin=YOURUSERNAMEGOESHERE
3. Midori probably is more light weight which is the reason mini exists. You
can install abrowser (which is the default for the non-mini version) and use
the update-alternatives mechanism to make it the default browser.
4. & 5. no idea
