So basically my problem is ; i bought a Bosal Exhaust from Advance auto parts that looks like this . I can't seem to snake the muffler through since it's in one piece, i'm wondering if i have to dismantle the rear suspension, which seems like a lot of work to do to install an exhaust system. Please, if you have any knowledge or help, let me know!

p.s this is my first z car, and the first car i've done manual repairs on, so i'm in the dark about a lot of things.

Did the exhaust system you bought from Advance come in on piece? That would be one heck of a shipping box... If it did, you should be able to snake it in with the car jacked, and the rear left wheel off, though I can only imagine it'd be a pain in the neck to do so.

If it proves impossible, I would cut the new system in the area of the flange on the FSM picture, then have a muffler shop weld on connectors to the new ends.

There's a chapter on Engine Control, Fuel & Exhaust System in the FSM - http://www.xenons130.com/reference.html

It does mention removing a cross-member to remove the muffler. Installation is reverse of removal.