Review of quick and inexpensive system to run standard Fridge

Make the inverter connections first. then the battery connection, and finally insert the fuse. There will be a sharp spark when first connected, know this and don't worry, it's normal. Also the fuse should be as close to the battery as practical. They are there to protect the wiring.  There are fuses that mount on the battery terminal.

Well you have given us your load goal of 2 Kwhs, Great place to start!

So you want 1 day autonomy to 50% of capacity. I'm going to figure 2 nights and 1 day without sun, or 36 hours of a 2Kwh load or 3 Kwhs to 50%, so you would need a 6 Kwh battery bank for twice that. So looking to get close to 6 kwhs of battery bank4 golf cart batteries would provide about 6 volts at 220 amp hours for (6vx220amps at 20 hours discharge rate=)1320watt hours. 4 would provide 5280, not ideal but close. If you assume some minimal charging on the cloudy day you are in the right ball park.

So you will want to be able to recharge for the daily use of 2kwhs. Solar panels under normal conditions produce about 75% of the rating.  We don't have you exact location, but we know Puerto Rico, I'm going to use San Juan, since I can find solar Insolation numbers for there. Looks like you will average about 5 hours of sun with panels angled to your latitude facing south. You might consider +15 degrees, there isn't much difference and the added angle will help rain keep them clean. http://rredc.nrel.gov/solar/pubs/redbook/PDFs/PR.PDF

You need about 2 kwh's of charging, there is about 20% waste in charging lead acid batteries, so figure 2400 kwhs incoming. So you will need 500 watts of charging each hour, panels produce 75% of their rating, 500 is 75% of 670, so about 670 watt array.

Shooting for being in your $2200 budget, and understanding that the new 72 cell panels produce the correct charging voltage for use with inexpensive PWM charge controllers (at the expense of about 10% less current) I would shoot for large 72 cell panels which are relatively inexpensive. If you are shipping out of Miami. Something like these at Sun Electronics. With the 10% less current you will be looking for about 740 watts of array. Something like the Astronergy 310 watt panels (ASM 6612P-310) would work at 55 cents a watt, 3 will be a bit more than your requirements but give you extra cushion;

http://sunelec.com/home/

Please note, the 250 watt panels at first would look like a better fit, but  they are 60 cell panels and won't work with cheaper charge controllers. These are large panels and NOT easy to ship/move around. If amazon will ship to Puerto Rico, I'd go with 8 - 100 watt panels or 6 - 160 watt panels. Lets say 8 of these 100 watt panels;
https://www.amazon.com/dp/B018BP22LA/ref=sspa_dk_detail_6?psc=1

With the panels either the 72 cell large panels or the smaller 36 cell panels wired 2 to a string (creating a string of 72 cells) you will have the correct charging voltage for a 24 volt battery bank with an inexpensive PWM charge controller. You can expect to put these on a 30 amp PWM charge controller, like the Midnite Brat or Something like this;

https://www.amazon.com/Smart-Solar-Charge-Controller-Display/dp/B00FB3OPKM/ref=sr_1_2?s=lawn-garden&ie=UTF8&qid=1510835860&sr=1-2&keywords=30+amp+charge+controller&dpID=41pwJOriZHL&preST=_SY300_QL70_&dpSrc=srch

We have mostly heard bad reports about Aims inverters. If you want a reliable system for a year, I'd forget Aims. Something like a Samlex 1500 watt pure sine wave;

https://www.amazon.com/Samlex-PST-1500-24-Inverter-Continuos-operating/dp/B00AYH68K0/ref=sr_1_4?s=lawn-garden&ie=UTF8&qid=1510836045&sr=1-4&keywords=samlex+inverter+24&dpID=51ImYa8a6LL&preST=_SY300_QL70_&dpSrc=srch

Costs;
$400 Batteries (Costco or Sam's club)
$900 Solar Array 100 watt amazon panels (cheaper if you can get the larger panels to Puerto Rico $515)
$30-90 Charge controller 
$550 Inverter

You will need some wiring and fuses. For a small temporary system, Particularly if yo do a ground mount no on the roof, I personally would forgo a combiner box. A combiner box does protect the panels if they short out. this is unlikely and there isn't much to catch fire on the solar panel. A combiner box (use a small din rail breaker box) and 4 breakers will run a bit less than $200

You will want a breaker of the inverter and a breaker from the array is also nice. Breaker don't respond quickly to spikes in wattage, at 24 volts your inverter will draw about 62.5 amps. A 70 amp breaker should be fine. A 30 amps breaker for the incoming amperage from the array and from the array to the battery bank. This should work fine as well. Both would fit in small din rail breaker box. Total <$200 around $100 You may find that the wiring suggested for the inverter is larger than the din rail breakers can handle. In that case you will need to move up to a panel mount breaker.

You will also need some wiring, use wire designed for UV exposure, USE2 or Solar. Your inverter manual, will tell you the proper size for the distance from battery to the inverter.

Good Luck!