My spies tell me that the Mk X Civic Si and the Mk7 GTI are staying in GS . However, the Mazda Speed3 is going to down to HS along with the SE. Those things are quick. One of the HS Civic Sports in my club won Nationals this year, which made me feel much better about rarely beating it last year.
I've run various wheels. Most are redrilled from 5x114.3 I paid $$$ for the first set, then made a redrilling jig and tools to do more myself. I do have some 5x112 BBS RG-F 16x7s, originally intended for VWs. A hub ring swap and they fit perfectly. They are not cheap if bought new, however. Don't be afraid to get wheels with too much offset and use spacers with them. See if you can find some Autec Wizards, either Mini or Mercedes fit. I was looking at those when I cheaped out and found used 5x114 Kosei on fleabay.
I'm in the process of ordering a custom set of wheels from China right now. I have my fingers crossed the that the insane tariffs will be thrown out by the supreme court before they show up. Even if not, they'll still be cheaper than US options. Most of the Chinese custom wheel manufacturers seem to specialise on absolutely hideous bling wheels, but there are some who do more performance oriented ones.
Since I wore out my RT660s, which are a great beginner tyre, I've been running various tyres on the front, but mostly Yokohama A052 on the rear. I really like them there, I'm not alone in FWD for that. Others prefer RE71RS on the rear (the Civic Sport alien). The Re71rs is being replaced by the RZ version next year. It's hard to go wrong with Bridgestone, they are popular for a reason. I've not tried them on the rear. The Yokohamas are prone to overheating if used on the front, they are the best tyre for cold weather. I've sprayed them on the back at 80F... I have run Vitour P1 on the front. They need heat, ideally 90F+ weather. I've also run Nankang on the front. They didn't feel great but were pretty quick, possibly because I had 225/45 pinched on 7" wheels. They tolerate southern heat very well. They aren't horrible when cold, unlike the Vitours, which are just scary.
Sizes, I suggest 205/50 or maybe 215/45 on 7s. I don't like pinched tyres, 205s were my favourite on 7s. Avoid tyres with a low load rating, or you'll need to run crazy pressures. My record being 44psi hot on 245/35-15 84W on 15x9s. Trying lower just slowed me down. Those did stick better than anything else, though.
Which tyres are good for you depends on your local weather, but Bridgestone front and either Bridgestone or Yoko rear would be a great place to start for many. Ask people at your local club, or just look at what they are running... There is a new Vitour P1 coming in for next season optimised for cooler temps, the x-01r compound. I'll almost certainly be getting an enormous set of those to chase Teslas in EVX. The best 'wet' tyre is the Conti ECS02, not the DWS which will chunk. I used to do quite well in the wet on RTs, which suck. On ECS, I do really well, probably top 10 pax if everyone had run in the pissing rain.