Maybe. If you have credit cards, student loans, or a car payment, it's better to pay those off instead, then start the 401k after that.
Sign up now! Put 15% in each payday. Pick a variety of funds and re-balance once a year. This is how you build wealth.
yes. you can get the company match and it will help your retirement savings grow. one thing to keep in mind, it can be used for purchase of a home or medical (see irs.gov for rules)
Hell yes. The match is free money. You can roll
it over into your new jobs plan.
probably not since you won;t be there long enough to get vested in the matching funds - you can start an IRA
Yes, of course.
I strongly encourage to do so, it will be like you putting twice since they match. Do it.