Congrats on getting into cycling, it's a lot of fun, and if you look at like fun instead of work you will be riding for a very long time.
For a beginner you did a very good job of picking a tire, I use those same tires, except in a 38 size for my touring bike, and they are holding up very well, no flats, and they have less rolling resistance than the bikes original tires which were Kenda Drumlins.
As far as PSI to use, I would probably go with 55 on the rear, and 50 on the front, at least as a starting point and see how you like it like that. I used two different PSI calculators and that range is the highest one, the lowest is 50 rear and 45 front, but that seems a bit too low for the weight? All you can do is try the higher value first and see how you like it, generally, the higher value is the correct one.
You already bought your stuff to take with you. Personally, I wouldn't use an electric rechargeable pump but I digress, it may only have enough battery to pump up 2 flats, why limit yourself to 2 flats when you carry 3 tubes? Don't take the 3rd tube, it's not needed anyway.
I do suggest you learn how to patch tubes, and watch YouTube videos, but also practice, find a junk tube, put a hole in it, patch it, install it, and pump it up, making sure it will hold air for 24 hours. Patching tubes will save you money on tubes, so learn how to do it. I patch my tubes on the side of the road because I hate doing things twice, but in your case, you don't have an unlimited air supply that a hand pump can provide so you don't have a choice, you have to replace the tube and worry about patching it when you get home. The only good mini pump is the Lezyne Road Drive large, while the large one is 11 inches long, it does make pumping up tires easier than the medium or small one, and the smaller the pump the less psi it will put in no matter what the packaging says it can do, even the Lezyne large one won't reach 160 psi they claim it can do! About the most it can do is 120 but you don't need to go that high anyway.
You have two tire levers, when one breaks consider getting Lezyne Power XL levers, these things won't break.
Multi-tool, if you know how to work on your own bike then a multi-tool at some point will be good to have, there are a lot of good ones out there, just find one that suits your needs the best.
Some multi-tools come with a chain tool so you might not need to buy a separate one.