1. Should be fine, but never ideal and you would want to take a few days off to bond with the cat initially.
2. Not chew on cable yes, litter box should be fine as long as the cat doesn't leave mom early.
3.
http://www.orphankittenrescue.com/ the key is to spend time observing the kittens interaction with mom.. or just get an older cat.
4. Annually.. cats are pretty much self groom especially short hair. Typical shots, feline leukemia, flu, it varies depending on age and if they go out of not.
5. It depends on the age of the cat, if it is pure breed perhaps.
6. You usually don't buy cats.. you adopt them.. unless you want pure bred.