How to handle unprofessionalism in academia?
In my limited experience this is the BS many have to deal with in academia, which is the main reason why doing a PhD made me change my mind about working in academia. 

Universities are a place where bureaucracy thrives, however this can be to your advantage, when it comes to complaints procedures, which are taken very seriously (usually).

Find out the university's official complaint procedure (usually two stages, first stage is dealt by the school and if issues continue you may raise it to university level, at which point the supervisor, if at fault, will be dealt with in a biblical format ;).)

Make an official complaint, provide all of the evidence required (including emails unanswered), and it should be dealt with withing a couple of months.