Hi. Does he have a crate? If so, you can try this . . .
when he comes back inside without going potty, put him in his crate for about 15 minutes or so (not as punishment, just so he won't go on the floor). Then take him right back outside and give him another chance to go out there. If he does, make a BIIIIIG deal of it. Give treats, praise, etc. If not, repeat the steps above. Doing this sets him up for success. He won't go in his crate, so you don't hae to worry about putting him in there. And when he does eventually go outside, you can reward him and let him know he has done the right thing. So you keep him from going in the wrong place, and teach him where the right place is.
As far as the tracking in poop, not sure what you can do about that if you are not home to pick it up right away. Maybe you could try a smaller area of paper, so that he gets used to having two separate areas . . . . one for play and one for potty. Since his entire area is papered, he may not think of them as separate activities right now. (just my theory, but worth a shot)
Hang in there, it takes time.
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