The numbers are energy flows in watts per square meter (W/m2). On average, 235 W/m2 is absorbed from the sun (67 by the atmosphere and 168 by the ground). For a precise balance, with no net warming or cooling, that same 235 W/m2 goes back into space (195 from the atmosphere and 40 as direct radiation from the ground). Adding a little extra CO2 to the atmosphere increases the absorption of radiation from the ground, warming the atmosphere.
The current warming trend can be explained by an imbalance of 0.85 watts/m2 MORE energy getting absorbed in the atmosphere and LESS energy returned to space.
Whatever extraneous factors are affecting the data in your graph (clouds, weather patterns, etc.) this graph is direct evidence that man-made CO2 is absorbing heat from the ground and warming the atmosphere.
For a good explanation of the basic science, see the article "How do we know more CO2 is causing warming?"
https://skepticalscience.com/empirical-evidence-for-co2-enhanced-greenhouse-effect-basic.htm
A simple mathematical model predicts a global warming of ΔTs = 1.2 K for a doubling of carbon dioxide. This is less than the 2 to 4.5 K predicted by more sophisticated models, but amazingly close considering its only algebra, no computer simulations.
https://en.wikipedia.org/wiki/Idealized_greenhouse_model
https://skepticalscience.com/empirical-evidence-for-co2-enhanced-greenhouse-effect.htm
As temperatures started to rise, scientists became more and more interested in the cause. Many theories were proposed. All save one have fallen by the wayside, discarded for lack of evidence. One theory alone has stood the test of time, strengthened by experiments.
Doesn't look like PDO could be the driver. Same for the other possibilities you mentioned.
As for the papers you would like me to look at, I assume you mean the 500 listed at notrickszone.com. If you have a specific paper you would like me to look at, give me a link, and tell me how it relates to the question at hand.
Several points are worth noting on this chart. First, the time scale of 1000 years is what we need to consider. There have been much larger surges in CO2 going back millions of years, and life can adapt to these changes given enough time. The danger for us is that the current spike in CO2 is happening over decades, not millennia.
Second, look at the large percentage change in atmospheric CO2. For the first time in thousands of years, CO2 has risen to 400ppm. That is 43% up from the pre-industrial level 280ppm. There is certainly the possibility of significant climate change.
Are you with me so far?
https://skepticalscience.com/empirical-evidence-for-global-warming-basic.htm