You have 60 days from the lose of coverage to get new coverage. It is not going to cover any tests or medical treatment that occurs prior to the plan being effective.
== If you are still within this window of time, you need to purchase this coverage!! (this doesn't sound like an option since you need medical care). Your family needs to figure out how to pay for this coverage.
At the same time, you can apply for medicaid, which is welfare based health treatment. Very similar to CHIP. If you are approved, this may cover you for 3 months back but probably not in your case. Unless you already know you aren't eligible for this, then no sense applying.
If you get approved for medicaid, you can cancel the private health insurance.
If you are going to college, your school might offer a specific health insurance plan for you.
There are some websites that take about careers for people with limited use of hands/arms. For non-degree, the easiest to get would be sales - like car sales, home improvement (windows, solar, etc)