Commerce

Yes, you can pursue event management with commerce without maths. The minimums core that you should get is 60% and then appear for entrance tests.

No for engineering, you need to have physics, chemistry and maths as the compulsory subjects.

Which course of study is your referring to? You have completed MBA, so what do you wish to study further please specify.

Passed 10+2 or equivalent Examination with Commerce/ Economics/ Maths/ Computer Sc./Finance/Financial Markets Management as one of the subjects securing a minimum of 50% marks in the aggregate.

The NET exam is conducted in three phases (one paper in each phase). The Paper-I consists General Aptitude Questions and the other two papers, Paper-II and III contains questions related to the concerned subject. You need to refer to good books specified by UGC that may help you to clear your basic concepts and logics as well as cover whole syllabus.
Prepare short notes as they will help you to quickly revise what you have learned.

For engineering Physics, Chemistry and Maths are required in 10,10+2. So, it will be difficult to get into engineering. You can look for other Bachelors courses related to Computers.

Eligibilty criteria for B.Sc Home Science in majority of Universities is as follows: " Candidates who have studied Physics/ Chemistry, Biology/ Bio-technology and other subjects except languages with atleast 50% in aggregate of the best three subjects".
You are not eligible for seeking admission in B.Sc Home Science.

The fee structure depends from college to college. Colleges providing the best infrastructure and good amount of facilities will demand more fees as compared to that of the other colleges providing low infrastructure facilities.