More than learning tabla, I think a basic course in music arrangement and music composition is important before you start composing.
Music arrangement is one of the biggest pitfalls in composition. A lot of composers in present day Indian film music are just composers, whereas the arrangements are done by a different set of people. What distinguishes a great composer from a good composer is the style of arrangement...
Calcutta school of music and Bangalore school of music offer good courses on musical composition and arrangement concepts. Though essentially an abstract course, taking the course will help in the long run.
You don't need long fingers to be a great solo piano player!