Probably too much of a pain if you are running the PIC at 5V because of the extra regulator and level shifting required. There are quite a few PICs now that run at 3.3V and these SRAMs would work well with them.
I would take a sanity check at this point to see if you are in over your head. IFF you are only understanding a small part of what is going on in the system you need to start with blinking LEDs. We all did.
Yes, that's how you would use it. The external RAM should only really be used for large sequential buffers, etc. Variables that need to be read/written, often and randomly, should be hosted in the GPRs on the PIC if at all possible.