ATMega1284p new chip fuse selections in AVR Studio 4.13

Should I turn off JTAG operation?

Yes, unless you were planning on experimenting with JTAG debugging.

How large of a bootloader should I select?

Which bootloader are you planning on using? Optiboot is 512 bytes, and the minimum bootloader size is 1K. The stk500v2 bootloader is 8k...