Looking at the web sight the Boeing 737 800 looks good in the house colours of coconut7 but in terms of who might be operating them i would have at a good guess as Exel as they have operated half term flights to Cyprus.
The Dubai sector is a lot longer although they use Beauvais near Paris as a tech stop on the Cyprus flights when loads are high they may use somewhere more approate on route if it is them.
The A321 they are showing i would guess as Monarch as they have operated add hoc half term charter before now we may just have to wait and see what turns up.