
Hi Kinla! Lots of questions! How old is he (you say 'just a pup' but how old is that)? If he's still squatting to pee I'd guess he's under 6 months, but if he's starting to produce smaller amounts of wee more often he's approaching adolescence.
You say he's chewing a lot of inappropriate items. What chew toys has he got that he's
allowed to chew? Chewing is a vital part of a dog's development, and they do grow out of it. To prevent destructive chewing it's inadvisable to use a muzzle, especially on a pup. Far better to keep him somewhere safe when you can't be watching him - a puppy pen, for instance.
All puppies play bite, not just working dogs.
This article should be helpful.
Slippery floors can be a problem with many puppies. Can you put rugs or similar down until he's grown?
Also travel sickness is very common, especially in puppies. Many grow out of it naturally; others can be helped over it sooner if the owner spends several weeks accustoming the dog to the vehicle; first by just feeding the dog in the car, then feeding in the car with the engine on; then sitting in the car with the pup for 10 minutes or so but not going anywhere. Then moving the car a few feet then getting out again - all gradually building towards a short trip to a favourite walking place. Covering the dog's travel crate so he can't see out can also help.