Short story, no.
But you need to hear the long story for an explanation to that, or else the wrong conclusion can be easily drawn.
So, to begin the long story.
My first point ties in with an issue you raised later in your reply, in that we have a very bad spread of teachers, particularly when one person has control of the majority of available classes, and is inactive in classes. However before now we have raised the issue with that person, and they argue that in order to keep their classes active, they need students to reply as well, which is a fair call. On the larger part every class has an active teacher, they just don't have students who will give the teachers something to reply to.
And yes, a teacher should be able to reply to even on student, but that's not acceptable in our books when the majority of students simply aren't attending their classes, it takes a bit of give and take for this to work out, and while the teachers certainly are not perfect in this regard, they all hold a good argument in reply, despite them not having posted in their since dec/jan/feb, you'll notice in those cases most of the time the students also haven't replied since dec/jan/feb.
Your second question
a) They get a warning to make their class active, if they don't heed the warning they're sacked.
b) If you apply, and there's an opening, we'll accept you.
As for your application, I'm sorry that it was left unchecked, someone probably forgot to check there, and it simply went unnoticed, I can assure you that it wasn't intentional, I'll go check it out now.
And for the third question, it is a little unrelated, but I can see how it ties into the topic.
I have a feeling that this may be in regards to the person I spoke of in the first question. Well, it's sort of a case by case sort of thing. Normally someone will obtain a number of ranks and titles through admin-related tinkering, then we realise how much power that person has, and immediately freeze any rank gaining and work our best to limit any power they have, or might be coming into. We don't, however, take away their ranks, because normally they did deserve it, and it was our stuff up, not their's that we let them reach that point, so while we encourage them to step down from a place or two, we try not to force them out of their positions.