Welcome from a fellow BC'er. I would suggest the following course of action:
1) Join BC Suzuki Club on facebook. There are tons of really helpful LOCAL guys that can show you the ropes and probably teach you some basic mechanical skills as you check your new vehicle over. There is also a guy named Shane Rathjen in Kamloops that sells a nice, complete spacer lift for $400. I'm not sure if it is designed for the 1st gen TrackKicks but you can look him up yourself and determine that.
2) No, you don't NEED a lift, but you will probably wish you had the extra clearance as soon as you hit any real trail. Even a 1.5" spacer lift and some 29" tires makes a huge difference in your ground clearance (and confidence)
3) Unfortunately a lift and bigger tires will affect your center of gravity by raising it up, but every single person you talk to will tell you that IT IS WORTH IT! You probably won't even notice the handling change, but you will notice your truck is way more capable off the pavement!
4) The other downside to running larger tires is that your gearing will suffer (lack of torque). With tires around 29" it is acceptable, but with 31's it's a slouch, and rock-crawling will be hard on your clutch and brakes. You can re-gear the axles to compensate for that, or get a set of crawler gears for the transfer case. But if you just want to go exploring all this talk of massive tires is overkill.
5) As far as your vehicle goes, just make sure all systems are good to go (reliable) before you head off into the backcountry. Check your coolant hoses for bulges or soft spots, that means they're ready to blow. Check your belts for cracks or chunks missing. Check your brake lines for the same. Check your brake piping (the rigid, steel lines along the framerail) for excessive, bubbly rust, meaning they might burst in a panic stop. Will the e-brake hold you to the side of a mountain if you stall and need to get started again? Adjust it til it will! Did you ask the previous owner when the timing belt and water pump was changed last? That is a small, but major component of the engine that will leave you stranded if not addressed in its proper timeframe. Another good idea if you're planning on keeping the rig for a long time is to change all the fluids, or at least in this order: axles, tranny, transfer case, steering, brakes. Then at least you know what you've got in there is fresh and clean, and you can take note of any abnormalities as you drain the old fluids as well. If the oil looks metallic or silvery, that's bad. You said you ordered spark plugs and wires, but what about the distributor cap and rotor? A new air filter wouldn't hurt either.
6) As far as modifications go, it sounds like you aren't initially planning on getting too carried away off road, but it is addicting so just be aware of that. I started small with my Sidekick, just a 1.5" spacer lift and 235/75/15 tires and it got me into lots of places. Later I added a body lift, 31's, a rear diff lock, and t-case gears and it was a beast off road. Just remember, the more extreme you go, the higher your dollars-per-km goes as well...there's no shame in parking somewhere and just stretching your legs and walking a bit.
It might not be a bad idea to put on an aftermarket front bumper to protect from animal strikes during your travels...it's alot less of a hassle than dealing with ICBC!
On 29's:

On 31's, locked and geared up:
