Don't know really where to start but....
Looks like you have a typical pig!
He's quite young yet and has the whole world to explore and is just keeping himself busy.
I believe males are probably more active than females anyway but I would say either one needs much more time outside than just once a week. Mine goes out every day. (especially for her bathroom duties) I have also found they find drywall tasty for some reason too! If you got another one, you'd probably just have twice as much destruction. He'll settle down when he gets older. If you do get a female for a buddy, she'll have to be spayed or you'll have to deal with her heat cycles. (not something you want to deal with in the house)
Mine would also root up carpet where she liked to lay so I put heavy rubber anti-fatigue mats in those spots. She root those but they are to tough for her to tear up. If you want to give her something to rip up then give her some newspapers. Mine loved to rip them up and roll around in them. Be careful there isn't anything plastic like ink pens or plastic shopping bags laying around, they'll eat them like chewing gum. Once, when she was pooping, I saw something hanging out of her rear end so I pulled on it and about 8 inches of a walmart shopping bag came out. Sounds funny but that could have been bad news had it gotten stuck and plugged her up. If your pig has access to cabinets, be sure there isn't anything hazardous that could be reached. Mine had no problem opening cabinets, even the drawers!
Pigs are very curious, especially when young so they need much more of your attention than when they are older. Mine will be 8 years old this winter and about all she ever does is sleep.
I guess in a way, they are sort of like dogs. When a dog is a puppy, they are always up to something, like chewing or digging, but not so much when they get older.
Of course now, you still will have that challenging thing to overcome when your pig gets older like between 1 and 5 years old. Kind of like when a parent has teenagers.
I love my pig very much but I doubt if I'd ever get another one!
It's very hard to get a pig to conform to your lifestyle. It's much more easy to just adjust to theirs. (pig proof your house)
They are not stupid animals by any means and can quickly figure out stuff. They know what NO means but you have to keep in mind that they also are pig headed and will test your authority! If you ever visit a hog farm that ranges hogs, you'll see they bicker and argue with each other. It's just what they do. Of course you are part of the herd now and will treat you no different.
I hate to see so many folks get a pet pig, thinking they can train them to conform to their busy lifestyle and then find they are too much to handle.
Pet pigs do need lots of ourdoor time or place outside they can just be a pig. That way, coming inside will be a treat for them and they will be much more behaved. It's not good for them to be cooped up inside all day.
Mine has a place (shelter) outside and plenty of yard and stays out all day and then comes in for the evening. She seems happy with that arrangement and I don't have to worry what she's up to in the house when I'm gone.