First of all, you made a huge mistake buying R4i Gold Deluxe - those guys blatantly copy-paste other people's code and got their users bricked when Gateway (poorly) implemented bricking countermeasures. Their flashcart does not have any way of updating the on-board ASIC and as such is now obsolete as Gateway's new firmware requires such an update. The cart is unlikely to get relevant updates in the future and if it will, they will not be released in a timely fashion.
Secondly, the exploit necessary to obtain kernel-level access on the 3DS requires 4.x firmware, preferably 4.5. Since you're running 6.x, you won't be able to launch any backups at all. SSSPwn is confirmed to work on 6.x firmwares, sure, but it will only give you access to usermode, so no backup launching will come out of it anytime soon simply because kernel access is required for launching ROM's.