2 month GR puppy potty!

Question
-my 2 month old GR puppy has the basement of my house to himself (we have removed everything that could have been a potential hazard). i have trained him to pee and poop outside, which he responds to well. the only problem is that he is left alone for an hour or two during the day and at these times, the door going outside is locked and there is no way for him to exit to go potty, so he just goes on the carpet. he is also in the basement during during the night. what should i do? i want to train him to go in a certain tiled area when i'm not home to keep the door open, but still would like him to go outside when i am there.....please give me advice! how do i train him to do this?
-is it normal for a puppy (just over 2 months) to start humping (very rarely though...only when he's really hyper)?
-i have looked at my puppy's pee, and there is a little bit of white things in his pee...but when his pee settles they fade away into the urine and when it dries up, the white things are gone..it kind of looks like little bit of foam, but i dont think it is...is this normal? (im a first-time puppy owner and im really concerned!)
-my puppy has gone for his 2nd set of shots when he was close to 2 months old....am i able to take him to the park to play with other dogs? or do i have to wait for his next set of shots?
thank you SOOOO much for reading and hopefully providing me some answers! God bless!

Answer
Hi Am,
  
1)To train him to pee and poop in a specific area, try taking his poop from outside and putting it in the area where you want him to go inside. He will smell it and think, "Oh!Its my poop! I should go here!

2)Im not so sure about the foam. Of course there will be foam in the urine just like us humans(if you noticed). If it doesn't look like ours, take him to the vet with a urine sample, just incase.

3)To take your dog to the park, he needs his rabies vaccine, and kennel-cough vaccine(also known as bordatella) done. You're supposed to have a dog liscense, but it doesn't really matter. When you take him to the park, just have your rabies and other vaccination tags on him. HOpe this helps.