You do realise right wing, anti-immigration parties are spreading all across Europe -Italy, France, Spain, Germany..... all with the same message of 'all the immigrants/asylum seekers are coming here'. When we took on 40k migrants Germany took on 1 MILLION in comparison.
Most of those seeking illegal immigration get put on wherever the people smugglers are able to go next. If you think more people sneak past our borders than elsewhere in Europe then that's on our government (under Tory, Labour and coalition) under-funding border patrol and not using the legislative powers available to them - no point blaming the EU because all those other countries like Spain, Italy, Germany etc are in the EU too.
As for the comment on foreign delivery drivers, how do you know they're foreign? Do you demand to see ID from them? Or do you just assume because of their appearance? Listen to them speak - mostly British accents I find. They may well be children or grandchildren of immigrants but that makes them no different to you and your Irish heritage (or indeed mine).