I am confused on which exhaust system I need in order to replace the one I already have.

The exhaust system I have, the muffler fell off, which I can tell was welded on after I jacked up the car and look beneath and saw that it wasn't bolt on.

I am trying to find one that is bolt on that is made for my model (93 Honda Civic DX Hatchback)

The exhaust systems that are made for the 2 door/4door model, are they the same for the Hatchback model?

This is the muffler system I've been looking at, but this one is bolt on.
https://goo.gl/6u1R3w

Even though the exhaust system on my car, the muffler is welded on, will the one I'm looking at on eBay still work even though its a bolt on muffler?

Below is a picture of my exhaust system with the broken muffler

 

The exhaust systems for 2/4 door models will not fit your hatchback, they are longer iirc.

 

This is correct.

Shop for the 3 Door 92-95 aka hatchback.

Looks to me like you will need to buy a cat back (catalytic converter on back) exhaust.

I don't see any of the bolt flange sections on your current exhaust so you will be connecting up to the back of your cat all the way to the back of the car.

 

Yes the B pipe looks about rotted out too. Replace everything from the cat back.

 

The link i posted, will that exhaust system work for me? I went to a muffler shop and he told me it would be $140 to get a muffler welded on.

 

So buy the exhaust system in the link i posted?

 

Your link you posted claims to be for the 5th generation hatchback, so yes it should fit properly.

Beware, there can be fitment issues with cheaper exhausts even though they say it is made for your car.

It may not be too long or two short but could have misaligned hangers etc.

My spec-d tuning hatchback exhaust with header is like that and I had to figure out how to make the hangars in the middle work. As well as the header pushes the exhaust about 2 inches lower than stock so even with stock ride height, I have ground a small hole in the resonator over time going over speed bumps.

 

The link is for a stock exhaust

 

On a true stock exhaust, the center pipe is one piece from the flange at the converter to the flange at the back wheel where the back section with the muffler bolts on. That ebay thing looks like they cut it in two to simplify shipping.

 

the one on ebay i am tempted to buy, how would i get those to link up together?

 

Those probably ship with u joint hardware. U should contact the seller to make sure before you go spending money.