Congrats on being a high school graduate, well done
Maybe your dad just didn't want to buy and set up the tank and plant it all on the same day. I used to tell customers to take their new tank home and set it up, then come back in a day or two and grab plants. It was easier for them because they didn't have to rush the setting up process. They could take the tank home, find a place for it, wash the gravel, set it up and get things going and then come back for plants.
You already have an established aquarium with an established filter. You don't need to cycle the new tank. You can simply move the old filter onto the new tank and it's done. If you want to keep both tanks running, take half the media/ materials from the old established filter and put it in the new filter. Instant cycled filter.
At home I have only ever cycled a marine tank and a Rift Lake tank. Every other aquarium I had, I simply transferred established filter materials into the new tank and added fish straight away.
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Looking at the new tank and filter. The cross member (piece of glass running from front to back of the tank) on the right hand side next to the filter might interfere with the water flowing out of the filter. You need to check that before adding anything except water to the tank. I would fill the tank and filter with water and turn the filter on and see where it goes.
You need a piece of polystyrene foam under the aquarium to cushion the base from any unevenness in the table. You can buy sheets of foam from a pet shop. Get one that is 10-20mm thick.
Is the aquarium supported underneath the tank in the cupboard?
If everything is good that looks like a nice spot for that tank. It fits in quite well and you could possibly hang lights from the frame above the aquarium.