You could probably run the 120 volt items listed on a 300 watt pure sine wave inverter.
The battery bank size would be determined by the total run time of the items using 100 watt = ten amps per hour of use.
For example, if the computer draws 80 watts and is used for 8 hours, it would use 640 watts and require 64 amp-hours. Since even deep cycle batteries need to be kept above 50% the battery requirement for that one item is 128 amp-hours.
Here is a simple flow chart.
Budget-->Energy Audit-->Battery bank size-->number of watts-->PWM or MPPT. What ever type of controller is chosen, make sure it has adjustable set points and a temperature probe that is on the battery.
One rule of thumb is between 60 and 150 watts of panels per 100 amp-hours of storage. The smaller the battery bank the higher the wattage needed (per 100 amp-hours). Here is a link to the rather special spreadsheet which includes an energy audit, that N8GS has created to help size solar battery charging systems!
Solar Spread Sheet N8GSFor a nice explanation of solar, try this link:
Golden rules of solar