Wow, lots of questions ... which is quite normal for first timers.

The brief answer is: flip some more through the Knoppix Hacks book, you will find, at least, pointers to the answers that you seek. Here are some longer answers:
1. Unknown, the only thing to do is to try it out. Check this post, and the whole forum, for a more answers.
2. Unknown; see answer to #1. As for Vim_Latex-Suite, most distros have on their website a list of "included packages". Google it.
3. It is not required to have a Linux Internet connection to remaster a CD. Again, see the Knoppix Hacks book, as well as Knoppix Remastering wiki.

Good luck, SiKing.