It's great to hear that you have completed BE in Computer Science. That itself is a good achievement. The next step is to pursue a career in the IT industry because that is what most BE CSE guys do. I don't know about your technical competencies but if you are technically good then finding a job should not be difficult you know. Just equip yourself with the right kind of skills. There are so many technologies like Big Data/Hadoop, Data Science, Analytics, SAP, Java, C++, .NET, Testing etc from which you can choose one and get trained in it.
I would not suggest digital marketing because that according to me is a different career. Doing ME full-time is a good thing to do but you have to take into consideration your current financial condition. Another option is doing part-time.
Finding a job as a fresher is not so easy and not so difficult too. You just need to register and search in portals like Naukri, monster, shine, time jobs, etc. Also, you can post your CV on these portals.
There are hundreds of genuine consultancy companies whom you can get in touch with. These consultancies will definitely help you in your job search. You can get this list from the internet or if you pay some agency, they will give you this list.
Keeping mind calm is a difficult thing especially if you are a youngster. It will take some time and efforts to achieve mastery over your mind. There are a lot of books and material out there which teach you these skills. I suggest you read some of them and try to have patience. Also doing Yoga and Meditation might help.
Wishing you All the Best.