Vision cannot lift Thor's hammer in the comics. The hammer's magic is very selective, and Vision doesn't possess the qualities necessary to overcome its enchantment and lift it.
In the comics, Vision was not shown to lift Thor's hammer. The ability to lift the hammer is usually reserved for characters with specific qualities and story arcs that didn't apply to Vision.
Yes. The breaking of Thor's hammer in the comics is part of complex and dramatic storylines. It can happen for various reasons related to the plot and character arcs.
Sure does. Sometimes it's due to powerful enemies or complex storylines. But don't worry, there's always a way for him to regain it or find a new source of power.