Op I don't want to be another person picking but It does seem a little bit pie in the sky.
Your DH Doesn't think its a good idea he also lives in your town and knows the demographic you are aiming for.
There are over 200 posts on here the vast majority stating that they don't think this is a service they would use the majority of these I suspect are the demographic you are aiming for (ie nannys/ working mums/ professional working women/ sahms)
You state you think running a business is not rocket science but you haven't so much a set foot in your local competitor play center ie the surestart center or visited an exclusive play centre like the one you are planning to open. Looking at pictures online isn't really enough you need to get a 'feel' for the place in person. Take a look at the set up, what works, what doesn't problems with the layout etc.
Also you seem to want to appeal to exclusive members and people who can't afford to access your service at the same time.
I don't think families paying full membership would be happy if people were accessing the centre free of charge with their children for cv and work skills.
Families who will can afford membership and classes are not the types of people who are going to need help learning how to put together a cv.
I can't see many people being happy to pay an additional £10 per class/child for a 'session' being taught by someone who is either volunteering or working to gain 'getting back to work skills' on minimal training.
The types of people you want to attract will expect a receptionist, a waitress in the cafe, a cook a cleaner etc.
How are you going to cater for allergies / special diets etc as I imagine the usual food offerings at play centres wouldn't 'cut it' at an exclusive play centre
Have you even looked into licencing for a cinema room, or health and safety / food hygiene for cookery classes and cafe/ first aiders etc.
What can you offer that local people can't get elsewhere.
TBH You've not stated you're doing anything that would make me want to part with my hard earned money, you've offered nothing new or exciting I can't get elsewhere.
I think if you want to go ahead with this idea you've got a lot of research ahead of you.