The connector is a soldered-in SMT device, and is NOT a job for anyone without serious surface mount soldering skills -- assuming that.s the problem.
The touchscreen/LCD assembly is easy to replace, but as I think I noted earlier, it will run you about US$40 (likely around 26 sterling) for a new one. But that doesn't solve the connector problem if that's where the problem is occurring.
You might try releasing the connector and reclamping it to see if you get more stable operation... but that requires opening the unit. The flex cable is retained by a small bar clamp on the connector. The clamp must not be moved to more than about a 30 degree angle from flat else you'll break it off. After releasing the clamp by gently lifting the tabs on both ends, you can pull the flex cable out of the connector, perhaps give the contacts on the cable a swipe with some isopropyl alcohol, reinserting the flex cable and clamping it down again. I've seen some units with a bit of tape over the connector to assure the clamp doesn't get loose.
If that provides no relief, you'll have to decide whether or not you want to take a chance on the purchase of a new assembly. It's also possible to get JUST the digitizer assembly (without the LCD) for less money, but it's a bit of a trick to separate and replace it from the LCD assembly.