i use my R4 3DS RTS from time to time. i also bought Drastic, the best ds emulator for android, and a bluetooth android controller that can hold my phone vetically so i can play through the ds pokemon games and be able to fast foward battles while grinding. also some touch only ds games like...
i'd recommend a new 3ds since virtual console injects are far better then any homebrew emulators available on both platforms, also backwards compatible with ds games/homebrew/emulators using a flashcart. get a psp for homebrew emulators/games/apps and ps1 support.
i dont think the psp is powerful enough to play n64 games at a playable level. only reason daedalus got as far as it did was because the psp and n64 both have the same MIPS prossesor and a very devoted developer. even after years of optimizations and several dozen builds released over the psps...
yup, tried it multiple times, even after trying the power vol+ vol- combo and going straight into eshop. got the update message everytime after "the demo is now downloading" notification and exiting the eshop, with the demo never downloading in the backgound, no icon or anything.
doesn't work with demos either. tried to download rayman demo yesterday and got hit with the same message. i think it's still possible to add funds to your account and purchase games, they just won't download to systems on lower firmwares.
very certain you wont be able to play it, there have been several firmware updates since then and i'll probably require the latest one. if you want to play 3.61+ games purchase a separate vita/tv
is super mario odyssey played from the game card fully playable from beginning to end without the day 1 patch? will there be any game braking bugs, graphical glitches or noticeable frame drops without it?
if uncharted showed up and axiom verge didn't then the axiom verge dump you have doesn't have the fake licence. either look for another dump or look into making your own using PkgDecrypt and nopaystation database (google it)