Not to discourage further replies but u/uncovered_history writes about how England received its copy of the Declaration here and u/Taxum explains here that the signed copy was never intended to be sent to England, and wasn't actually the 'oroginal' document, only the official or 'engrossed' copy, prepared and signed weeks later.
Thanks to u/searocksandtrees for compiling these links.
/u/WARitter sums up most of the answer in his linked posts, however, I’ll directly address the John Hancock signature. It is a complete myth that John Hancock wrote his signature in any distinct way specifically for the Declaration of Indepence. This article does a great job summing up some of the finer points around debunking this myth, however, it’s worth mentioning some here. For starters, the signed Declaration was never intended to be sent abroad, so King George would not have seen it. The document’s creation wasn’t even really for the rulers of Greak Britain, and instead, more for the people of the newly established United States. It was meant as a rallying cry for both Patriots and neutrals (its estimated that almost half the country were neutral by 1776). While one did make it across the Atlantic and into the hands of the British government, it was not the original which bore each person’s signature. It’s also worth noting that Hancock’s signature, as depicted on the Declaration, is the same signature he used on countless other letters and documents throughout his life.