Let me answer your questions one by one:
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Compatable with all major web browsers including Firefox Yes
New post and new user indicator Yes and No, but the join date is displayed by the author name in the message page
Threads must be "printer friendly" Yes
Number of post count displayed with login name Yes, it will be displayed by the authors name in the message page
what file types we can attach All types of files. You can specify them in the forum configuration
Have a pop-up that will alter is someone is make a simultaneous post to a thread No - actually, don't quite understand the question
Thread and forum subscription Yes
Searching - All content in all documents is indexed and searchable Yes
Full text search capabilities Yes
Boolean search capabilities Yes, with full text enabled
Ability to search on number of threads an author has posted on in a time frame No
Ability to narrow serach by forums and dates Yes
Seach on authors and keywords Yes
Active users viewing thread Yes
Unlimited Moderators Yes, using the moderator group feature
Display most active posts or unanswered posts Yes and for unanswered posts - just set the sort criteria to list threads with no replies first
Unlimited forums both public and private Yes
Users can self register Yes
Admin can delete/edit/move and lock threads Yes
Display the number of users, threads and posts Yes
Must support over 500 concurrent users, over 500 messages per day and over 50,000 messages across all forums Yes - a piece of cake
User banning by both name and IP address Yes
Spell check No, but IE and Mozilla have spell checkers that users can install themselves, both are free and will free your server for such tasks
Multiple Attachments and types such as .TXT, .ZIP, .LOG etc Yes
Embedded Links - Ability to embed links to forum posts, other knowledgebase articles, documents, sample logs, case studies, other article links, web resources, etc Yes