2013 Sport, auto.
Just got it a little while ago.
Fun peppy thing.
Ride is a little rough and noisy.
Maybe time for new shocks???
Any suggestions on how to make it smoother and quieter???

 

Smoother and quieter?

I stripped the interior out of my 2010 Fit when I got it and spent 3-4 hours per day over a two+ weeks installing multiple layers of sound-deadening material. It is far quieter than it was, and the doors and rear hatch close with a nice "thunk" rather than a hollow "clang," but that means that instead of having a 2010 economy car interior noise level it has (maybe) a 2010 mid-level car interior noise level. In other words, it was a noticeable improvement, but it's still not quiet inside, especially in comparison to any nice or recent car.

More generally, hatchbacks are louder than sedans because the "trunk" is open to the passenger compartment.

As for the ride quality, you're fighting the short wheelbase (makes for a choppy ride on bad pavement) and economy-car suspension design (e.g, rear beam axle). If you have evidence that the struts/shocks are worn, replacing them with equivalent products will help. If your tires are old or worn, consider going to a smaller wheel and taller tire. For example, some 14-inch wheels fit (I have 14-inch 1990s Civic rims that clear the front brake calipers), allowing you to go from the OEM 185/55R16 to a 185/70R14, and that taller tire will help smooth the ride a bit. But, it will also blunt the handling slightly because of the increased tire sidewall flex. Life is all about tradeoffs.

In the big picture, you have a short wheelbase, economy hatchback, and there are limits to how smooth or quiet it can be.