If you go back long term you’ll see that CO2 rises with temperature. BUT - it is in RESPONSE to the temperature increase which can sort-of be seen your graphs.
Also, in looking at the longer term (million years) graphs - the interglacial warm periods last about 10,000 years or so. We are on about year 9,999 of our most recent ice-free period. I’m not making predictions, but it wouldn’t surprise me if the next ice age is near. Research also shows that they may not have been gradual as one would think, but happen over a matter of years to decades, not hundreds or thousands of years.
Yes, temperature leads CO2 by about 800 or so years.