Cyprus is a remarkably safe country, with very little violent crime. However, it is wise to be careful when accepting drinks from strangers, especially in Paphos, since there have been numerous occasions of muggings.
Note also that the numerous Cypriot "cabarets" are not what their name implies but rather brothels associated with organized crime.
Beware that Greek Cyprus celebrates Easter on different dates than Western Europe, in most years. In contrast to Western Europe, in the Orthodox church Easter is considered more important than Christmas. On Easter Sunday, many musea etc. are closed, and buses run reduced services in some places even until Easter Tuesday.
Is increasingly available in tourist centres in the guise of internet cafes and side rooms equipped with monitors. prices vary, so shop about. €1.5 an hour seems average, but you can do better. many cafes now offer free wi-fi access. most hotels and resorts now offer internet access to their guests under various arrangements.
The official languages of Cyprus are Greek and Turkish. Greek is spoken predominately in the south and Turkish is spoken predominantly in the north.English is very widely spoken in south by locals of all ages - partially because of previous British rule and partially due to the tourism industry. In north English is spoken much least than in south. Other common languages spoken on the island are French, German and Russian.