The back log in Kingston is well reduced from when you were awaiting trades training Cnd Sig. Most pers are under 6 mos now and with the new system they are talking about putting into place, the wait could be for people to make up a course. Hopefully they coord better than in the past and get soldiers through so they can come off one course and go on the next in a timely fashion.
As for the time to get stuff from North Bay, you will probably go to Borden for training. You are then a short hop from home. Most weekends after basic will be yours. That being said, don't expect your weekends while in training systems. Exercises and duties seem to be made up to ensure weekends are taken away from time to time.
As for the time off, I believe that you are not entitled until after your trades training and upon your first posting. The rules have changed some but I still think that you must be trade qualified to get it. The best way to find out is to talk to a RMS clerk once you get to a location after BMQ. They should know the rules better than us lowly sig ops, lol.