mentions nothing about any user serviceable fuse or reset. "Funky" wiring in your home shouldn't cause an appliance to fail. Wiring that is in poor condition usually results in blown fuses or tripped circuit breakers in the service panel, heat in places it shouldn't happen and of course, fires.
It is very possible that the outlet is worn to the point that it doesn't make very good contact with the toaster's plug and has caused the toaster to fail to heat up. Try removing the toaster to a different outlet and try again. Check the original outlet with another appliance or lamp, etc. to see if it works or not. Also, check to be sure any ground fault outlet hasn't tripped.
If the toaster fails to work as expected in another outlet, there's little you can do to repair without jeopardizing your safety - especially if you're not familiar with appliance repair. These appliances aren't really meant for disassembly - manufacturers don't want to be liable for "repairs" that end with injuries, burns and death so the make them pretty hard to take apart. Even if you are successful, they make even harder to reassemble without it looking obvious that it has been disassembled.
Take it apart if you want - learn about how it works and buy a new one. These devices don't rely on rocket science and the controls are pretty simple - but it is an electrical device and electricity isn't a hobby. Be safe. Be smart.
BTW - I don't want your money - I just don't want you to get hurt.