Those are all reliable components. The reliability will be most effected by the build itself. In this project, you will be removing almost every mechanical component in the car...so it'll be on you to make it reliable. The biggest thing will be the engine wiring, make sure it's clean, all connections are moisture and vibration-proof (I use only Molex Perma-seal butt splices), that nothing can chafe. You will also have to replumb the fuel system, so again, make sure it's done right, and you're not going to have problems down the road.
Do not assume it'll be a completely reliable car right out of the gate. Don't take it on a road trip a week after getting it running. Issues will present themselves, you will have to limp it home, maybe towed.
If the 81 has A/C, it'll just be a matter of making custom lines to plumb the EJ22 compressor into the EA81 system. If not, you'll have to retrofit an evaporator and stuff into it.....I don't know.
Easiest is to just use the EA81 crossmember, front suspension, and axles. You could build your lift blocks to adapt the wider EA82 crossmember onto it, and then use those components, but IMHO that's more work than it's worth for a lifted build.
I don't find the EA81 manual rack to be a problem with big tires. I have 29" tires on my Brat, and it seems to work well (not street worthy, don't think I've ever had it over 15mph). I had an EA82 with 29" tires that had a power steering rack that someone had deleted the pump, that was annoying. This would be the only reason to use the EA82 crossmember, as getting an EA81 power steering rack is very difficult.
EA81 fuel tank doesn't have the same baffling as a fuel injection tank would. So you'll probably have occasional fuel starve when the tank gets low and starts sloshing around. The correct fix is to add a surge tank, but I just would fill up a bit sooner.
There are a couple hurtles of using the EA82 5-speed transmission in the EA81 body. Custom/modified crossmember and driveshaft, IIRC. I haven't done it, but it's been discussed here many many times.