Get yourself the biggest deep cycle battery from an autoparts store. Get your inverter, MC4 cables, charge controller and panel online. That 45w harbor freight thing is way over priced. A laptop will realistically use 3-4 amps per hour. From one group 27 deep cycle you will have about 50 amps reserve. With a solar panel in good sun you will get roughly half the amps than the wattage is on the panel. So a 100 watt panel will provide about 50 amps.
So however much you plan to use a laptop and lights (use LED lamps to save alot of energy) everyday should be the size of you panel array at minimum. So figure 6 hours of computer at 3.5A x 6hrs a day = 21A + 1A for lights x 6hrs = 27A daily useage. The more batteries you have the longer you can go on extended clouds. With one battery you should last about 3-4 days of clouds max. An appropriate size panel would be at least an 80W (35-40A per day).
here's a 85W panel for $168 shipped
http://www.ebay.com/itm/85-WATT-12-...339?pt=LH_DefaultDomain_0&hash=item4164bcd1e3
Here's a charge controller for $12 shipped
http://www.ebay.com/itm/CMP-Solar-P...110?pt=LH_DefaultDomain_0&hash=item3cc4849576
Double the wattage of the harbor freight for the same price. The battery will run you about $100 and the MC4 cable from the panel to controller will cost about $35. You need at least 8 gauge welding cable from the controller to the battery and you have to keep it as short as possible as 12v DC has alot of voltage drop (resistance) and you will never get the batteries charged right if you're not getting 14.4v at the battery. You'll also need a 20 amp fuse block on the positive wire from the controller to the battery. A 200-400 watt DC-AC inverter can be had for $25-35 online as well.
As far as refrigeration forget it or be prepared to buy a really expensive danfoss compressor based unit (~$750). A minifridge will use about 100A per day give or take. It depends on how hot it is outside and how cold you want to keep the fridge. You'd need something like 4 batteries and at least 300-400W of solar and hope you don't get too many cloudy days in a row. An engel type camping fridge/freezer will use about 35-45A daily.