It's always a little hard to know what to say when someone asks for reactions on a recording, because you don't know what sort of a feel they were going for.

To me this sounds like maybe late at a party when things have wound down and a few people are singing along on a favorite song.  That's not a bad feel/ambiance, if it was something near what you were trying for.

If this was something like a casual recording with a single mic, it is quite good.  

If it was multi-track or multiple mics into a soundboard, you'd have some more options  to try, of course. 

But what you've got sure isn't bad.  It's pretty clear, levels sound like they weren't too high, it's "natural" enough sounding. 

Ok, well I can't tell you how you should do it, only things that I might have tried different. 

I don't know the software or hardware you're using, so I'll keep it very general on thoughts.

First thought is that the original sort of builds to a peak and then fades off, while your cover is kind of the same intensity all the way through.  I might try fading down some of the instruments and vocals in the first moment where the vocals start and then bringing them up to where you have them now only at the point where you want the intensity to peak. 

The reverb, it might be "blurring" the sound a little more than you intend to.  Remember that with reverb, the more "wet" you set it, the further away you make the instrument or singer sound.  As you turn it up it is like moving them further back on the stage.  You want to use that intentionally to give the feel of depth unless you want the feel of all the players standing shoulder to shoulder right together.  You use it set more dry for instruments or voices you want the listener to feel are closer to them. 

Reverb gives the sense of the space or environment, tells the listener how far away the players and voices each are, and by how long the reverb takes to die out, gives the listener a clue of how big the room is, and maybe even what sort of a room it is.  A bright reverb will feel more like a bare empty room with hard surfaces while a dark one will feel more like a room with more objects and sort items (like people or carpets, etc) absorbing some of the high end so it doesn't bounce as much.  The longer the "tail" on the reverb is, the bigger the room.  The brighter the reverb is, the harder and more empty the room will seem to be.  

Reverb also isn't the only tool to use.  It is good for defining the environment the listener should think of the performance happening in and also doing a little bit of blending.  But if what you were trying to do was give a voice or instrument a little bit of "lift" so it stands out more, echo might have been another choice, with just a "bit" of reverb.  If you wanted to make a voice or instrument richer or more complex, maybe chorus would be an alternative, again, with just a small bit of reverb to help the listener's ear tell how far away it is supposed to be and in what kind of room and how big a room.

Those are just a few general thoughts.  They may or may not apply to the kind of sound *you* are wanting.  It is very subjective and a matter of taste.  You are the artist, the calls are yours to make.

I will also add that I thought the performance and singing went great.  It sounds like a good take.