My question, will I be eligible for H1B with Arts in bachelor but I have full time master degree in computer applications(MCA) and 4+ years of IT experience?
To know a concrete answer, you should get education evaluation done for your degrees and mark sheets.
Even then you may be asked as to how you qualify for the position. For that you need to have detailed experience letters. The employer would also have to show that your education and experience still qualifies you for the job.