Pursuing a distance education course is not a problem as long it is from a recognized institute. So if you have pursued the course from a recognized institute then you can try for the government jobs

There are many opportunities for candidates from MSc background. In DRDO the candidates can apply for posts like Junior Research Fellow. In ISRO also candidates of this profile will in areas like electro chemistry.

A candidate with a Master’s degree in Chemistry can get jobs with government chemical industries, pharmaceutical industries, factories etc.

One can also get jobs as Lecturers or Assistant professors with top Universities or colleges if they have qualify in the NET exam.