Composing two Impulse Responses
Yes, that's correct.

The impulse response of a cascade of two systems is the convolution of the individual Impulses responses. Convolution is commutative, so it doesn't matter in which order you convolve. 

Impulse responses are ONLY defined for linear time invariant systems, so this will work for systems like equalizers or filters but NOT for things like dynamic processors or limiters.