I have found a way to add an appointment without first knowing the client's name by creating a 'fake' name as you have suggested, however when it comes to me adding the appointment times, the system is only offering me the following time options: 9, 10.30, 12, 1.30, 3.00.

I have checked all the settings and they are correct so I do not know what to do now. 

I want to create two appointments on Thursday 27th October, one at 1pm - 2.30pm

and one at 3pm to 4.30pm.

My website guy is also struggling to integrate the calendar onto my site ?

Frustrated.