My question is about movement.
How does movement and a conjuration work?
1) It can be affected by anything that explicitly targets conjurations. So the shaman power that moves zones and conjurations CAN move the spirit companion, because it IS a conjuration. Dispel Magic can destroy a spirit companion instantly (no damage is done to you this way), and Devour Magic can eat it.
2) Conjurations also cannot normally be targetted by attacks. Melee and ranged attacks are the exception to that rule (explicitly laid out). Close and area attacks are NOT melee and NOT ranged attacks. So no, you -cannot- target or otherwise affect a spirit companion with them (except if they -explicitly- can target conjurations, see 1)
3) Conjurations do not move by default. Spirit Companions, however, have a caveat that -permits- them to move at the same time you use a move action. Bear in mind that you cannot move the spirit companion out of range (20 squares from you) and if you move 20 squares away from the companion, or if line of effect is broken between you and the companion, then your companion ceases to exist immediately.
As an aside:
Blast and Burst attacks would work, but only if it can somehow target a creature and not an area.
Blasts and Bursts often target -explicitly- creatures in their area. Sometimes it's one creature only (Healing Word), sometimes it's all creatures (Scorching Burst), and sometimes it differentiates between allies and enemies. But, if the Target line mentions creatures, allies, or enemies, it -explicitly- targets those. It's the rule, not the exception.
Also, regarding the OP:
Conjurations cannot flank by default, so neither do Spirit Companions (without the obvious exception of course)
Conjurations cannot trigger OAs. Only creatures can, by default.
Most of these questions can be answered by reading the section on Conjurations in PHB2, at the back of the book.