You don't need solid lifters for 8200RPM but what you do need is sensible life on the roller rockers. They don't last long above 8000RPM and 8500RPM is the absolute limit for them. We have uprated ones with a DLC coating that last longer but still only rated for 1000KMs of race use in the S2000 engines.
7800RPM can be done on stock stuff, 8250RPM requires stiffer valve springs and good quality new lifters. Be aware that by increasing the valve spring stiffness you are also increasing the load on the cam drive and as such should investigate if the clamping load on the cam and crank pulleys to ensure they are sufficent to retain positive location as well as what second and fourth order vibrations are present. You will want to keyway both the crank and cam pulleys for sustained used above 8000RPM.
The entire bottom end rotating assembly needs to be balanced to a sensible tolerance (note not crazy money heavy metal weighting type stuff just sensible), the stock crank is fine to 8500RPM but we do a steel one should you feel the need to be £2200 poorer. We also do an uprated steel rotor for the stock oil pump assembly which is safe to S2000 rev limits but you're probably fine on an OEM spec pump to a transient 8200RPM.