Hi Sheep
each of your questions actually deserve several hours, which I don't have.
What do you think of the Turkish laws that prohibit the crticisim of the Turkish nation, state or government and thus has given a few 'politcally unreliable' journalists problems?
It is not "criticism", it is "insult". I agree the law 301 is too vague, and often abused by nationalist prosecutors. However, the judges know this very well, and disregard such cases. So the cases with several writers and journalists that get widely publicised in foreign media actually always get dismissed. It is news when such a trial starts, but not news when it gets dismissed. And people think Turkey is actually sentencing people for what they say because of it, which is untrue (at least I am not aware of any such case that did not get a quick dismissal). What can I say, the law is badly written and redundant (If people feel insulted, they can always sue for insult anyway), but you should keep in mind that media is never an objective source (I'm not saying they keep sides, but they selectively publicise events depending on ratings)
With all the misguided/racist European laws against freedom of speech for Turks, ours is not that bad.
What is the deal with the Turkish Republic of Northern Cyprus?
That question is too broad to answer in a day...even at talking speed it took several hours the last time my Greek officemate and I discussed it.
Both sides have points in which they are right, and they have overlapping interests that they don't want to concede at any cost. Makes it unsolvable. Usually who is cooperative who is not fluctuates, last few years with EU backing the Greek Cypriot government is the uncooperative side by far - in my opinion.
Here is the most comprehensive and objective website I know about the Cyprus issue. It is compiled from articles/interviews/accounts from British/American/Turkish/Greek/Cypriot historians/journalists/politicians/eyewitnesses (might be some more combinations).
You go into the Main Narrative, which is like a summary with links to all other articles in the site. Without going into any other article, the Main Narrative takes a couple of hours to go through. Other than the main narrative, the historical background articles are quite good too.
Why does Turkey cover up the Armenian masacres?
Has it? I am not aware of that.

This is a result of Armenian propaganda. Everybody (includin Turks) accepts that great numbers of Armenians perished.
Turks (or at least I) refuse to commemorate their deaths on principle because everybody else refuses to commemorate the huge numbers of Turkish (and Kurdish) civilians killed by Armenian gangs in the same period. The world is misguided about who the genocide deniers are.
The problem is Turks had a lot more population. So killing similar numbers on both sides would reduce the Turks by 5% while reducing the Armenians by 50% for example. So it had a higher impact on Armenian nation. (I am not saying it was that many, more or fewer. Nobody knows the actual number in either side, but both sides have lots of dead greatgrandparents. I have seen Armenian sources as low as 300k, and as high as 2M; the same range on Turkish side).
I personally wouldn't mind if there were a ceremony or monument commemorating, I don't know, "Eastern Anatolia Tragedy" or something like that. But Armenian propaganda tries (and succeeds) to tell one side of the story of suffering, sometimes even by falsified evidence to be disproven by other Armenian historians, and make it look like they were an innocent unarmed bunch. On top of this they go found/help terrorist organizations that kill Turks and try to teach children in the rest of the world to hate Turks. This kind of hatemongering done through an unfair publicity contest, despite Turkey's several calls for an investigation by historians, is what most Turks can't stomach.
Saying one nations deaths matter more than the other is blatant racism, and that's exactly what Armenian genocide advocates have been doing.
It is like blaming the current fighting in Iraq on the Shias (or Sunnis) and claiming the other side is unarmed innocents. War always has civilian casualties, civil war even more so. It is time for people to grow up and see that they can't paint a warfront in black and white.
Finally why did Turkey steal Turkish Delights when they are really Greek?
It is difficult to determine some of the common elements of the cuisines. Some dishes have obvious foreign names. For example Greeks call the stuffed grape leaves "dolma" which is the Turkish word meaning something stuffed/filled. Turks have mousakka which, unlike most other Turkish dishes, doesn't mean something in Turkish (My guess then would be that it is Greek). Then there are things in the middle, like doner=gyros which come from the word to turn in both languages.
In The case of Turkish delight, it is called "lokum" in both sides, which was probably derived from the Turkish word "lokma" meaning "one mouthful / one bite". Besides in Turkey it has about 10 times more flavors and ways of making than the Greeks - so I'll say Turkish Delight is likely to be Turkish indeed.
PS. Due to my time constraints I don't think I'll be able to turn Cyprus or Armenian issues into a prolonged discussion, which I had had several in life and CFC. Just to let eager Greeks and Armenians know, before they take an offensive on me