Adobe Suite, coding skills and web design are skills you should be able to learn through your community college - I would not recommend art/design graduate schools if these are the skills you wish to acquire. Have you looked at codeacademy.com? There are many free resources online that allow you to learn these things from your home, often for free.
If your primary goal is job placement, I'd put your efforts to upgrading your computer and getting software so that you can perform the work you're looking to do. There are many opportunities for freelance graphic design and web design jobs, many of which can be done from the home. Once you've got a little bit of experience, it will be easier to move onto bigger jobs or higher education.