Burn monster cripples you and prevents the use of abilities and it cuts off your escape, and it stops your ult. You have more range than Tyra though, so it's best to just keep your distance from her.
In the ult stance where you're damage immune, you keep going on a trajectory until you land, Io can ult during this and send you flying to your death. She has just as much long range damage as you, and Luna can rush you.
Totemic Ward's cc immunity prevents heavy blade's slow, and he can ghost walk to avoid heavy combat's burst. His ult slows the enemy, therefore his ult counters your ult.