Ra: Flame Spike + Fire Blast

Fire Blast is unlimited. If Ra uses it twice in a turn, does he get to follow it up with Flame Spike both times?

I believe you do, yes.

Yes.

Gah!  Foote Clan attacks!

Yep. Flame Spike isn’t an action or activated ability, it’s a passive, so it can trigger as many times as is relevant.

Since Ra is the one who makes his Blazing Tornado attack (despite him possibly not having line of sight or any of that stuff), does that mean he also gets to Flame Spike after hazards?

Yes. Bear in mind that Flame Spike still originates from Ra, so the character being attacked by the Blazing Tornado may not be an eligible target for the Flame Spike attack (though you of course aren't obligated to target anyone specific with Flame Spike).

Eeeeeeexcellent. maniacal laughter

In situations like this it is important to remember that Tornado and Living Pyre will hit allies, which with Tachyon or Baron Blade and flame spike can make for some fun exchanges.