1) The minimum age you need to be to hire a moped is 17 (50cc only). You must be 18 to hire a bike of 50cc or more.
2) You only need a licence to drive a moped or motor cycle over 50cc and then you need to show a full motorcycle licence and your passport. In practice it's a good idea to take your driving licence whether provisional or full if you want to hire a moped. Please note, however, that you MUST wear a helmet and that moped driving. as in many countries can be dangerous.
3) The legal drinking age in Cyprus is 17. You can legally enter a nightclub at the age of 16 but you are not allowed to buy alcohol. In practice, many bar owners will probably serve you alcohol if you are under age but it is not legal.
4) The legal smoking age in Cyprus is 18.
5) Cyprus is now part of the EU, joining with 9 other new members in May 2004. That means there are NO restrictions on the amount of cigarettes or alcohol you can bring back to the UK as you will have paid any tax duties in Cyprus.
BUT you can only bring back alcohol and cigarettes FOR YOUR OWN CONSUMPTION. You will see that many kiosks display signs saying you are limited to the quantity of cigarettes (200) you can take back to the UK but this restriction only applies to eight member states in the eastern block of Europe (eg Poland, Hungary etc). Note, however, that only SOUTHERN Cyprus (ie the Greek part) is in the EU.
NB. If you try to take back large quantities of cigarettes or alcohol eg. 3200+ cigarettes or 10 litres plus of spirits, you may get stopped at UK customs. Unlikely if you are travelling from Cyprus as it would be too heavy but be warned.
6) You need to be 25 years old to hire a car OR have held a clean driving licence for at least 3 years. Some car hire companies will allow you to drive at 21 or 23 but most set the minimum age at 25.