If you havent been provided with an inventory, that really isnt your issue - the inventory is there purely(although some here will disagree with me) for the landlords benefit.
The problem you have now is, whether or not the property was rightly or wrongly let, any breach is not severe enough to terminate the tenancy. So we may as well leave that for another day
The first thing definitely must be to speak to the landlord. I understand your previous experience, and it certainly does not bode well that the place is in that state to start with. However, it may be that the landlord is unaware of the condition of the property, and there are some of us out there who are decent!!
I'll try and help with the individual complaints as much as I can:
- There really are plenty of properties still(I know you may be surprised) that do not have a gas supply. There really isnt anywhere to go with this - although I suspect you know this.
- Electric key meter. This is not my area, but I am fairly sure that you can get these removed once any debt on them is cleared - although there may be a cost, it may still be economical to do so as key meters are more expensive per kWh.
- Floor to ceiling external doorframe. How do you mean "external"? Do you mean there is a door straight from outside to the bedroom?
- Storage heaters - again isn't my forte, but it may be deemed insufficient heating, especially during the winter months. I think Joa knows more on this one than me, so will await her contribution!
- External light and doorbell - pretty insignificant in the grand scheme, and no way of enforcing any repair. You are expected to treat the property in a "tenant like manner", and although I dont agree that you should neccessarily perform repairs that better the property, it is probably much less hassle etc spending the £10-20 to get these two things working.
- Curtain fittings - again are fairly unsubstantial, and I would probably just sort it myself.
- Mould in bathroom - is pretty much par for the course when the place isnt ventilated properly. Give it a clean and keep it ventilated.
- Heated towel rail - the landlord should probably do this, but I doubt if you can force him to.
- Paint peeling - again, decor, and no obligation to do anything with.
- Same with carpets and walls.
- The bulbs really fall into the same category as the bell.
Please dont get me wrong - I am not belittling the faults - I can understand how annoying it must be, and how frustrating that these things have cropped up. However, I am just trying to post practical and realistic solutions. It is a list of annoying issues, and I understand, but most of them can be solved by yourself with a minimum of outlay, time and effort - certainly compared to chasing up a landlord to do it when they probably have no obligation to do so anyway.
Hope this helps.