Do not choose a job or an internship blindly because it is going to have a very big impact on your career. It is imperative that you take into account your specialization before accepting any offer. If you preferred production throughout your degree, it will be extremely unwise of you to do internship as a reporter. So make sure that you choose the internship which is according to your specialty. Similarly, there is no point doing an internship in electronic media, if your strong point is print media or vice versa.
Reputation is one of the most important factors in a media organization. Before you accept any offer, you must consult your seniors about the reputation of that particular organization in the market. Work in an organization, which is reputable and credible in every way.
You should also consider the atmosphere of that organization and the presence of experienced personnel so that you can learn valuable things since an internship is all about enhancing and polishing your skills.
Upon accepting an offer from an organization, you need to take into account the chances of professional growth. If you think that you can step up the ladder in that company, then put all your effort into the internship or job. If the job is not challenging and there are not many chances of professional growth, you should aim towards seeking as much experience as you can before moving towards better prospects.