The property thing is unfair, and it is not equally distributed.
For example, suppose brother (1) bought a run-down terraced house in Fulham for £10,00 in 1980 when he was earning £2,500 a year, and brother (2) bought a house in Darlington for the same.
Through no fault or special effort on the part of either of them, one of them might have a house worth a million more than the other today. Despite them both earning, spending, saving the same amount over 40 years.
I see no reason why the children of brother 1 should feel entitled to receive a million extra in ther inheritance than the children of brother 2, so I am all in favour of inheritance tax. I am also in favour of people's wealth being taken into account when providing care in their old age. If you had a million pounds in the bank, or in gold bars, or in shares, you would be expected to pay for yourself, so why not if it is in a house? Although obviously if you are living in it you could wait until you die for the bill to be settled.
There was quite a narrow window of good pensions, BTW. If you had the good fortune to be employed from (say) 1960 to 2010, and to be with a good employer with a good pension scheme, and to have stayed in it all that time, you might be retiring now with a better pension than the rest of us. However if you had changed jobs a few times, or been unemployed from time to time, or been on a low wage, or worked for a company that went bust, you might be in a very poor situation. So it isn't just the generation you're in, it's also your luck. Today there are more unemployed, and there are also more people on HUGE earnings, so it is still a matter of luck and very unequal.