Welcome to the community!
Yeah, for only playing a week that's really really good. Logistics-wise you're definitely doing a lot more things right than wrong. The only things I'd change are a few conveyor belt directions near the shields, and giving the LR a more direct line to the wings so you don't need to spend a bunch of money on the SRs. Also there are some weird door placements around the cannons that make it hard for the factories to get power, but that's about it besides really small changes that don't save you much.
The one issue I could see this ship having overall is poor durability. Ships at this scale tend to have a lot of firepower, so your frontal shields won't last long. Specifically once the side shields go, there's very little protecting you from projectiles going through the cannon section and destroying all of your missile factories. Also even though flak is a great part to have, your placement could be improved. If you brought it up to the top near the cannons, it would help protect all of your missile launchers, not just the bottom half. Alternatively if you put them all the way at the bottom of your ship and made them face upwards, they'd be much more effective since incoming projectiles would remain inside of the firing arc for much longer.
If you want me to go into more detail on small things to change let me know, but really it's already a descent ship, and with some small tweaks it could be solid.