Wotchya mate and welcome init?
I don't got much time to look as I am on my way to work.
But a quick gander at your pic looks like one of two things wrong here.
Either the chuck has been removed from the the morse taper leaving it in the quill.
Or the dead center is wrong size needing MT1 not MT2.
I fancy first suggestion knck the taper out then the center will slide in.
A word of warning, that can come out easily when switched on ensure it mates against something to stop that happening.