There are a lot of variables involved in answering your question. First, I think you mean you have a lot of talk groups programmed into your radio, not code plugs. The "code plug" is the configuration file that is loaded into the radio and contains all of the frequencies, talk groups, contacts, etc.
I'm not familiar with your area and quick Google search shows that (apparently) the Kinston Amateur Radio Society in your area only runs a VHF FM repeater. In order to use DMR and to make contacts in Liverpool, England, you would have to find a DMR repeater in your area that allows you to use TG1 Worldwide. Once you have access to TG1, and assuming there is a corresponding repeater in Liverpool that also carries TG1, then you could make contacts. Again, this is a very simplified answer to the question.
Another option... and perhaps the only option if you don't have a DMR repeater in your area... is to purchase an IP gateway device, commonly called a "hotspot." There are a few options on the market, including the Shark RF OpenSpot, which is what I have. An OpenSpot basically serves as a simplex repeater when you are in an area that does not have an RF repeater. You would need to program your radio to transmit to the OpenSpot on a simplex frequency and have TG1 programmed as a contact. This will get you on the air and onto TG1, along with any other talk groups that you program.
Again, this is a very basic explanation to your question. DMR is a lot of fun but there is definitely a learning curve that comes along with it as well. If you haven't already, check out
DMR-MARC Network for some more info and specifically the W2XAB DMR Guide
http://dmr-marc.net/media/Amateur_Radio_Guide_to_DMR_Rev_I_20150510.pdf
Hope this helps. 73