sup balder! welcome!
Agree with what LBSS said. In addition, just really think of "jumping hard" as a skill in itself, just like sprinting, running, shooting a basketball, dribbling etc. Jumping in general, but more specifically "hard/high jumping", needs to be fairly frequent: 3x/wk seems to be the minimum amount.
One great thing about watching the "natural jumpers" progress from a young age (like Kilganon, Rivera, Dexton) & then also the maybe "less natural" jumpers but still jump obsessed people (Nico, Celi), is simply realizing how often they jump. People who fall in love with jumping and dunking, put in an impressive amount of jumps per week. Many of them are jumping near 6 days a week.
Then you have the strength (lifting) & specific reactive work (drops,pogos,"plyos") components which can help to accelerate the process. Safely improving your core lifts will give you a great ability to activate more muscle fibers & produce more force in your jump, also usually helps prevent injury. Specific reactive work can add some icing on the cake features, ie the stiff leg pogo hops which can give you more "flick" on triple extension - similar to the flick of the wrist in a jump shot giving you more range/control.
So specifically, Wednesday and Saturday seem like your best days for some really hard jumps. These days also follow a rest day, which usually gives you more power if you're doing alot throughout the week. After a good warmup, i'd try and get in some good jumps (progressively more intense, until you're jumping max) on those days, prior to the rest of your work/workouts. I'd also include some jumps on Sunday before the rest of that workout, just less of a focus on max effort, and more of a focus on getting some relaxed but explosive jumps in. If gameday on Saturday is real important, maybe just move those max effort jumps to Sunday. Bottom line, need to try and figure out what schedule works for you, so you can get in 2-3 hard jump sessions per week initially. Over time, you may need to increase that a bit, but initially 2-3 should do, as long as you're getting in other jump movements throughout the week.
Also, you can always do 1 or 2 step max effort jumps instead of full runups. Those are submaximal on your body so they don't tax you as much, but they still help get that skill work in. So stuff like that can precede other sessions if you feel like you have some jumps in you & want to get some extra work in.
also here's the t0ddday method thread:
http://www.adarq.org/strength-power-reactivity-speed-discussion/the-t0ddday-method/my 2 cents.
peace!