Seems to me that the first 'tree' you have planted is actually a shrub. The more I look at your photos, it seems like the easier/better thing to do may be to allow it to be a shrub. You have a nice plant there and when you decide if you want a tree or a shrub, then select the answers provided for that purpose.
The advice I had given was for the purpose of creating a tree shape so if you opt for 'shrub' you can ignore most of what I said, except for the crossed limbs part and the open it up part (let the sun shine in).
(Sure wish I lived nearby on pruning day so I could grab up the cuttings
and root one!)