Thanks for the luck on the test.
The reason you want to avoid Smith Machine if possible is that it allows you to exacerbate muscle imbalances and does not have the same effect of developing stabilizer muscles throughout your system as free weight squats do. It's too tough to get into all the possoible muscle imbalances that you may have and what might be the corrective measures to straighten them out first. A common one, especially amongst men, especially if you work in front of a computer is overactive hip flexors. Often, by giving those a good stretch, you can add inches to your vert. I'd say try and migrate over to free weight rear squats, the kind with the bar resting on the back of your shoulder area. Here is a great site with exercise animations and some key points to focus on:
Weight Training, Exercise Instruction & Kinesiology
Follow the squat safety instructions and start lighter than you would. Technique is the most important thing. Once you have a good feel for it, then you can progress in weight. Always try and use free weights as much as possible, the exception being cables. You can mix in the machines once in a while, but know that they often focus development of prime mover muscles and can neglect to have the same effect on synergist/ stabilizer muscles.
It sounds like you are on track with the cardio. While I have reccomended limiting cardio to maximize strength gains, I think if you are working on lowering body fat and gearing up while in a competitive season, it is fine to do cardio- and do it often. Personally, I'd use eliptical machines before other cardio equipment in the gym, treadmills generate too much impact for me over time (plus I feel dizzy after I get off), but if it works for you, that is fine.
By split routine I mean splitting the days you work on different body parts. A good split (that I am currently using) is: Chest/ Shoulders; Legs; Back/ Arms. Every day includes core exercises as well as some balance and some reactive or SAQ (spead agility quickness - I use an agility ladder). I don't do cardio in the gym much. I play basketball during the week and that is all I can handle at 7,000 feet in addition to hiking and a couple days of volleyball (we're lucky to have indoor sand).
You can spend a day working on approach jumps. I'd reccomend just focusing on your last two steps, before takeoff. Get those down, the others are really about building momentum. Try and find at least a padded surface to do your takoffs and landings on.
One last word on sets and reps - these are critical. You don't want to spend more than 90 mins and ideally 60 mins for any workout. A few exercises for each body part and the number of sets and reps really depends on your goal. I vary it during the offseason for myself, because I know I am building up to the outdoor season which for me starts in late march. Early on, stabilization exercises are few reps (1-3) with high sets (15-20) most often on unstable surfaces (stability ball). Building muscular endurance brings in supersets which is a regular set followed by an unstable set (such as bench press followed by stability ball pushup) with moderate reps and sets. Power development is moderate sets (3-5) of low reps of an exercise (3-7) followed by a power exercise (8-12), such as Bench press followed by medicine ball chest pass. Pay attention to the variables you use, and make sure to mix things up every 3-4 weeks, otherwise your body will adapt and you can do more damage than good. Also, if you have gone through an intense period of workout (for example, a few years ago I did a 5x5 workout - 5 reps, 5 sets of near maximal weight working the same body part as much as 3 times a week for 4 weeks) make sure you give your body a week off or lighten the load dramatically so it can rest. Strength is actually built in the rest periods, not during the breakdown periods.
Hope that helps, good luck with building your game!