Yes.

Oops. Didn't read it properly...I'm not sure :P

No, I think you can't cut your own support.

kiel moves to berlin since its supported.
silesia cannot move to munich since munich is occupied
silesia doesnt cut support from munich to kie-ber since you cant cut your own support.
you cant attack your own units, dislodge them or cut their support

From the AH rules: "An attack by a country on one of its own units does not cut support." Unless I have your question wrong, that should resolve it. The support isn't cut, so the attack from Kie to Ber succeeds.

I am just curious: why did you want to cut your own support? If you wanted just hit Ber why did you support your unit?

It WOULD have been a bounce if you had supported your enemy's unit holding with A SIL, instead of attacking a supporting unit of yours.

@aoe3rules: Again, why doing that instead of just attacking A Kie - Ber unsupported? ( Is this a noob question?)

If a mistake is made in putting in orders.

And sometimes it's handy to make 'mistakes'.

Attacking your own support:
There is a tactical technique which I have used and it is very very rare but it goes like this:
You expect the enemy to make a supported attack on your piece (the target). You do not want to move that piece because it is wanted to support something else, further you feel that the potential supporter of the target piece is going to be attacked in turn. so you make a supported attack on your piece which is in itself being used to support a secondary attack else where.
Example:

Germany:
A Kiel to Berlin
A Munich Support A Kiel to Berlin
A Silesia to Munich
A Bohemia support Silesia to Munich

Russia:
A Berlin-Munich
A Warsaw to Silesia
A Burgundy support Berlin to Munich

In this case the attack from Berlin is a 2 on 2 (beleagured Garrison rule) on Munich so Munich is not dislodged. Also Munich's support for the attack ON berlin cannot be cut by Berlin. The Russians hoping to cut Silesia's support for Munich is frustrated as Silesia is the mover on Munich.
Result, Munich is still German, Berlin is dislodged and has to retreat (prussia or off the board) and the Germans are still in Sielsia.

NOTE there are plenty of other units around that give choices on what is going on and it is not just these involved, but their interplay as detailed above is what is important in the concept of the rules and the technique of attacking your own support.

i don't think it's that rare to use this tactic, i use it regularly, and see others do the same.

So I can't cut my own support. Ok. That is good to know. Thank you.

it is impossible to cut your own support or dislodge your own unit.

@Edi: I just read your post twice to understand it. Please excuse me, but I never want to play against you.

Or maybe I really need to.