Trivandrum

There are over 5 Graphic/Web Design colleges in Thiruvananthapuram offering 27 courses.
Check the list of all Graphic/Web Design courses in colleges/institutes in Thiruvananthapuram listed on Shiksha in the link provided below:
https://www.shiksha.com/animation/graphic-web-design/colleges/colleges-thiruvananthapuram

Evening/distance/online/part time engineering courses are not valid any more as per the latest supreme court verdict , hence would recommend you to join regular btech course for better career prospects
http://www.tribuneindia.com/news/nation/no-technical-education-through-correspondence-says-supreme-court/491819.html

There is 1 Paramedical college in Trivandrum Offering 1 Course. Please refer to the link provided below for details regarding this course and college offering this course (Medical Transcription). Regards. https://www.shiksha.com/medicine-health-sciences/paramedical/colleges/colleges-thiruvananthapuram.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=4479470
You can use the above link to know about your future college based on JEE marks.

Yes. You will get admission in some good top self-financing engineering colleges in TVM.

Yes, Asian School of Business offers BBA course.