Installing a fridge inside a wall?
On the refrigerator, don't box it in so badly that you block airflow to the coils.  Remember how a refrigerator works.  It pumps the heat inside the refrigerator and dumps it outside through a set of cooling fins in the bottom back area.  If you box it in too much, it won't get enough fresh air to cool well, and it will run inefficiently, fail to cool well, or breakdown prematurely.  It's not a big deal if you provide space for that.  

Bonus points if you can access the back of the fridge to clean the fins, as you should every few years.  Try to set it up so dryer lint isn't drawn into the cooling fins. 

The fridge needs to be leveled.  The manufacturer has a spec for this.  Generally the fridge is slightly "tilted back" on purpose, so the doors will self-close by gravity freely and firmly.  When set up right, it's a thing of beauty. 

On the electric service panel, remember you must have clear space around the panel as described in the link here.

Also don't forget that since this is a remodel, you must bring the remodeled area fully up to new electrical code.  Figure on dedicated circuits for each of dishwasher, garbage disposal, microwave if built in, at least 2 (I recommend more) circuits for kitchen counter receptacles (honestly in the age of USB you just can't possibly have enough kitchen receptacles). Might be worth thinking about fitting a 50A circuit for an electric range/oven, also consider providing outlets for in-cabinet or under-cabinet lighting since the LED options these days are marvelous and cheap.  

I recommend a dedicated circuit with a SINGLE receptacle for the refrigerator.  Have that be non-GFCI if you can convince your inspector to allow that.