Quick-play Spell cards are Spell Speed 2, so are the same speed as all Trap cards except for Counter Trap cards which are Spell Speed 3.
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I'm asuming you mean in the game "magic the gathering". If so, then yes. Quick play spells can be used during any stage of the game.
Yes, it will be unaffected by the effects of any and all types of spells, whether they be Normal, Quick, Field, Continuous or Equip. The Legendary Fisherman for example gains protective effects if Umi is in play, however it therefore becomes immune to Umi's effect and doesn't gain the ATK bonus it would normally grant.
Spirit Burner is a equip spell card, it may not be used during your opponents turn. Only quick play spells (indicated by a lightning bolt) may be used then.
no, because for one there is no such thing, there are counter traps but they are not quick play
No, there isn't. Unless you count a Field Spell Card, which is a spell card but has its own zone, so technically you can have 6 spells active.