That looks good.
The santee for the lav can be a 2" x 2" x 1.5" with the 1.5" pointing out for the lav.
If this bathroom is at the end of the run and needs a cleanout, I sometimes bring up the vent under the lave with a 3", 3" cleanout tee, and have the 2" for the vent and lav waste above that.
By end of the run, you can be within five feet of a line with a cleanout, and you don't have to add one.
It looks like you understood what you were reading.