It depends on what was agreed. Your solicitor is the best person to ask your questions to but, if the agreement was basically that you pay £7k for the lease when the space has been surfaced, my first thoughts are that this is what you should do. If you've not paid anything, then you can't really grumble about not having anything for your money. As to the value, you should ascertain whether or not you can reasonably pull out. If you can, you should approach the seller with a more realistic offer that may or may not be accepted.
Assuming that the offer will be (or has been) rejected, it is for you to basically either walk away or pay £7k. If you walk away, my guess is that it is unlikely that legal action will be taken against you although you should confirm this with your solicitors.
You certainly wont get a reduction in the price unless you make it clear that you will otherwise be walking away. If they think that if they don't reduce the price, you will pay the £7k, then obviously they are not going to reduce the price.