This looks awesome! The craftsmanship is top notch. Few people that can work that nicely with wood can also do that nice of steel work
I would make one change though - I wouldn't use eyebolts for the tree. There is going to be a TON of pull-out force on those cables if there are a few adults, someone jumps, etc... and being holes in a tree there is the possibility for rot and wood imperfections to cause major issues over time, even with the fact they're quite large. And it would be difficult to detect.
If possible, I would drill straight through and use 3/4 or larger high strength hot dipped all thread to make the connection.