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New Mutants ends and X-Force starts a few issues after their part of the storyline. Also just read this off the Wiki page for X-Tinction Agenda

The various X-Men in the story (Storm, Wolverine, Banshee, Forge, Psylocke, Jubilee, Gambit) would form the first official X-Men roster since the Australia-based team disbanded.

So a couple of those elements did take place.

I am so glad I did a quick peak at the Wiki page, found this information I never seen before

Continuity errors

Apparently due to not being in agreement over what exactly should be depicted in the scenes drawn by their respective artists or maybe because of them not being aware of what the others had drawn, the parts drawn by Bogdanove differ greatly from what Lee and Liefeld depicted.

In the parts drawn by Liefeld and Lee, Forge has lost his bionic arm and leg; Bogdanove drew Forge with his bionic limbs still firmly intact.
Wipeout, in the parts drawn by Liefeld and Lee, is a short man with spiky gray hair and wearing a pair of round glasses. In the parts of Bogdanove he's long haired, has a moustache and lacks the glasses.
In the parts drawn by Liefeld and Lee Wolverine is wearing his orange and brown suit, in the parts drawn by Bogdanove he's "Patch" wearing a plaid jacket and jeans.
When a tearful Wolfsbane gives Warlock's ashes to Boom-Boom in the scene drawn by Liefeld, she's wearing her Genosha slave outfit and has a humanoid appearance, in the Bogdanove drawn reprise of that scene she's drawn completely wolf-like wearing torn rags.