Last question first. The Traxxas uses a Traxxas connector. It is a good connector and much better than the old style Tamiya style. It carries a much higher voltage and doesn't create heat. They are also easy to solder on to a battery if it doesn't have the right type.
The charger question is related to what type of battery will be used. Many tracks are allowing Lipo batteries now. Even in our stock Slash classes we allow them because you only need one battery for a day of racing and they last for 1,000 cycles and don't lose power unlike NICAD or NIMH which drop off in power from day one. You can use the same Lipo over and over again the same day.
Even if you don't plan on using a Lipo I would get a charger that can do them and be prepared for the future. Everyone will have a favorite but I like my Ice chargers. They do multiple types of batteries, have variable charge rates, peak methods for NICAD or NIMH or Lipo.
Charge time depends on the type of battery, capacity, and how discharged the battery is when you start. A 5000 MAH battery that has been discharged heavily might take an hour to charge as an example. Hope this helps. Post any other questions.