By Euro plug you mean this?
If yes then it is described in the CEE 7/16 Regulation and for safety is limited to 2.5Ampers for Class 2 Application. So it should not exceed 550Watts.(Up to a fridge) It is unpolorised, unearthed and not fused anywhere except in the main distribution board.
Allot of EU countries are starting to use the SHUKO plug CEE 7/4 Class 1 Appplications
If you use these ones which are also unpolorised, but are earthed and fused in the plug, they are rated at 16A! So it should handle 3500Watts!( A big heater )
Cables as it comes is fairly strict and the same
Conductor Size Current Maximum power (Watts) @ 240volts. But these are really optimistic and I would subtract 500watts for safety.
1.0 mm2 - 10 amps - Up to 2400 Watts
1.25 mm2 - 13 amps - Up to 3120 Watts
1.5 mm2 - 15 amps - Up to 3600 Watts
2.5 mm2 - 20 amps - Up to 4800 Watts
4.0 mm2 - 25 amps - Up to 6000 Watts
So like this one
In general timers start of from 2000Watt resistive load (restive meaning something like a coil heater! so they are marking the worst case scenario) If its lights, pumps etc its more slacked. You can get 3500Watt too.
So to answer your question - Yes it will be ok to hook up the fan and lighting to most plugs - because you might as well used a junction plug and it would be the same..
To be safe- if you want to add more stuff later use a
2.5MM solid core cable
if you cant - just wire it directly (remove the whole plug and join it indside the plug with a wall plate)
Like this one- just let your wire come out from there and run it neatly using trunking, tacs or glue gun. Try to avoid putting plugs onto that line- like the other poster said- it is breaking regulations.. in most countries.