View attachment 352132



so my convolution drawing here is correct?

Yes, but make sure that you don't confuse t and τ. The horizontal axis you have drawn is the t axis, but the amount by which you shift the second signal is τ. So perhaps you should label the axis "t" and the text at the top should read "5<τ<6".
You do the integral over t but the answer is a function of τ.

 

View attachment 352132



so my convolution drawing here is correct?

Can you show the results on your drawings as well?
You should show the resulting waveform. I do not see that yet.
It's a little unclear what you are showing with your red block areas. Maybe you can explain that.