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Without going back to look at everything that is written on this (perhaps other, more methodical, comrades will be doing it but that would mean you will probably have to wait for a response) I would just offer these few initial thoughts.

1. There is no question that what you have stated is born out by the statistics for both population growth and GDP - any debate about them would be around the margins and ergo not significant (but be careful with GDP as the bourgeoisie are not agreed on how to calculate it but they automatically increase it in line with population growth so I would argue that if the population grows faster or at the same rate as GDP growth we are actually talking about a stagnant system). I have not compared the two properly but believe that has been particularly the case over the last decade and more.
2. The LTORPTF is not only about crises but is also an explanation for dynamism of capitalism as compared to previous modes of production. The drive to globalisation, the fragmentation of the working class in the advanced capitalist sector, the technological transformation of the digital age are all a response to that tendency. It gives an impression of continuing dynamism only if we ignore the social costs.
3. You are right about the long tendency for profit rates to fall and this comes from a variety of different econometric methods as used by Kliman, Maito, Carchedi, Roberts and others (none of whose political recipes we endorse). Despite nuances there is a remarkable degree of agreement between them. However they have to use figures based on prices and not values and they have to use mainly US figures since no other place in the world provides data in so clear a manner to be able to make these calculations (thanks to Simon Kuznets when at the BEE). How representative they are is a matter of debate (and there are several schools who deny them - Dusmenil, Husson etc).
4. Most of the economic analysts who concentrate on the rate of profir also agree that the end of the psot war boom (late 1960s/early 1970s) signalled the entry of the system into a new period of the downward path of the cycle. The world has been in need of a massive devaluation ever since on the scale of the devastation of a global conflict. All of those in the UK who came to revolutionary politics at that time did so because the class was putting up resistance across the world and at different levels to the attempt by the system to make them pay for the crisis. It took the corporatism of the unions and ten years for the capitalists to regain control by basically liquidating a lot of fixed investment, creating mass unemployment and thus a more precarious labour environment which since the 1980s as only developed.
5. We are thus today in an entirely new situation. The intervention of the state has (just) managed to keep the system going through various attempts to manage the economy in an era of lower profits. We have now gone over 40 years in this system but nothing has stood still. The capitalist state has tried everything from deficit financing to neo liberal policies of selling off state assets cheaply to "entrepreneurs" for them to make the profits for themselves until finally the financial world entered into it in the speculative phase which we are now in and where the future of the system has been mortgaged so far into the future that it defies imagination. What also defies imagination is where the world goes from here. What other trick can they pull that can devalue enough capital to sufficiently kickstart a new round of accumulation? We (and many others) can see none but then we did not think they would abandon the "commanding heights" of any national economy back in the 70s and 80s as they did in the UK. The current incompetence and confusion in ruling class circles as evidenced by Trump, Brexit, the rise of the nationalist right across Europe suggests we need to prepare ourselves for more open rivalry (Trump's latest security statement reads like a declaration of war on Russia and China but then the rhetoric does not completely cohere with the reality) between the imperialist powers. In the meantime their proxies continue to sustain genocidal wars which never end but just shift from one theatre to the next on the edges of the system. Imperialist decadence it is which the lack of profits is driving forward. Happy New Year in 2018!