I'm not convinced by this sea level rising stuff. If I recall correctly it is an arbitrary mason's mark on a sea wall somewhere (Plymouth?), having lived close to the sea all my life I do not believe that it is possible to measure sea level with any degree of precision.
Because we are coming out of an ice age so we have rising sea levels, the pattern of sea level rise since the decline of the ice is a sort of S shape in that it was slow to start off with, then the sea rose quite quickly for a while and now it has levelled off a bit. However, as you say, measuring sea level rise is tricky as some of the UK landmass is rising since the weight of the ice has been removed from it, for example, plus there are a million other factors. I think there is some thought that satellite data provides a good measure of absolute sea level but we've only had this for a few years and, well, in due course my money says someone discovers flaws with that as well. The only thing that would be strange about sea level as we come out of an ice age would be if it were not to be rising.
Pepys in his diary records a January when it was very warm and all the plants were in bloom and he became most upset about the dust from passing wagons as the roads were very dry. The same man also recorded frost fairs on the Thames because the river was completely frozen over.
The weather is, and always has been, extremely variable and I once heard a climatologist point out that in the UK any month that didn't set a record would be a record month. Our climate is the same, I love the standing stones at Callanish but they've had maybe 6 feet of peat cut away from them. What is interesting is that they are positioned on the bed rock as when they were put up the climate was about 3 degrees warmer than it is today and so conditions were unsuitable for the formation of peat, the people who put them up had no peat and had never seen peat. The warm period that came to an end, allowing the peat to grow, began with an extremely rapid increase in average temperatures that, in the UK, may have been as rapid as 5 degrees in a decade, I believe the current warming rate, as we exit the ice age, is considered to average about 0.72 degrees per century. In only another 300 years or so we might manage to reach the same temperatures, referred to by archaeologists and others as the "climate optimum," that the people who put up the standing stones experienced. In truth this is unlikely and we might be heading for a Maunder Minimum which will be a really bad, and cold, thing indeed.
Certainly we get weird weather but if you think that it is somehow more weird today because of media alarmism driven by the money raising wing of "big green" then you've simply got no sense of perspective.