I'm doing the BIT course. I think it's the Wednesday that's the clubs and societies day. I attend an orientation camp instead of an on campus one. What course are you doing?
Closest courts are in Surry Hills. Not too far of a walk from UTS city campus. Here's what I've found out about it: http://www.citycommunitytennis.com.au/club-info-2/uts-tennis-club/
Wednesday is the day when all the clubs and societies will be there so you should go check it out.