We do not yet know what "matter" is and what "alive" means, so answering such a questions is rather difficult.
Matter can be dead or alive.
As a matter of fact she is still alive.
yes,air is a matter
As grass is or has been alive, yes. Organic matter comes from organisms, or things that are or have been alive as opposed to lifeless.
Smoke is a matter, it has molecules and it is an example of "gas." it occupies space, whilst having mass also.
This is a matter of personal opinion.
your pumpy thing that keeps you alive!
Certainly not. It is a hotly debated subject. Viruses (and prions for that matter) are not alive in a conventional sense.
organic matter
yes simple as that dosent matter if dead or alive.
dead implies that it was once alive, but nonliving implies that it is simply matter, and never was alive.
Yes. Everything that exists is matter in a various state.