Among these two courses and colleges, you should probably choose EEE at NITK. Having to know some people studying in both these institutes, I can say that the infrastructure and facilities provided at NIT Goa are very poor, it is also below NITK in terms of rankings. 

• The campus of NITK is very beautiful with lush green surroundings. NIT Goa is much smaller and might be built inside a state government-run college. Students can enjoy leisure time along with their studies. 
• The faculty is very talented and highly experienced. 
• The course curriculum is updated according to the recent industry trends.
• The placement opportunities are excellent. A lot of companies visit the campus for interviews. 
• NITK is also better if you want to do higher studies like machine learning, etc.

Hence, choosing EEE at NITK will be a better option as the faculty, infrastructure, and placements of this college is great and there is also a very good scope of higher studies. 

IIIT Allahabad is the institute of national importance, whereas Thapar Institute of Engineering & Technology is a deemed university in Punjab. The best institute among the two for pursuing engineering is IIIT Allahabad. It is far better than Thapar. Here is a brief overview of the institutes.

• The tag of IIIT is an advantage. IIIT Allahabad is not less than old IITs as it is one among the Tier-1 colleges for engineering.
• The quality of research and reputation it has in the industry makes it a lucrative choice.
• IIIT Allahabad offers only two specializations, IT and ECE. It diverts the complete focus on these two branches.
• The faculty of the institute is skilled in teaching and has vast experience in the industry. They use the industry-specific teaching approach and prepare the students to take up real-world challenges.
• The coding culture of the institute is renowned in the country. It has given birth to many excellent programmers in the world. Every year, a team goes to compete at the international finals in ACM ICPC. Heard of ‘Humblefool’? Till date, he is considered the best programmer from India and he belongs to IIIT Allahabad.

Overall, the above points conclude that IIIT Allahabad is not only the brand, but it also gives the best return on investment.

ICT Mumbai wins this battle. It is one of the best-known colleges in India for chemical engineering. The table below shows the rankings for ICT Mumbai:

Starting from experienced faculty to great learning experience, placement rate is commendable. An average package deal for a chemical engineering student from ICT Mumbai is around 5 lakhs, which is pretty good. Also, several chemical industries and companies pay frequent visits to the campus. 

A friend of mine is an ex student ICT Mumbai. Here are the reasons why ICT Mumbai is better than an NIT:

1. ICT, as an institute, strictly concentrates on chemical engineering. The chemical engineers passed out from this institute add-up to its reputation and good word.
2. In terms of location, it is situated in the middle of industries from both Mumbai and Gujrat on either side. It will be convenient for the student to get himself/herself an internship in either of the industries or get a job during the placement session.
3. In terms of faculty, the teachers appointed are themselves specialists in the department of chemical engineering. Also, they have a good connection with multiple industries. 

Therefore, ICT Mumbai is the most favorable choice.

As for NIT, it depends on which NIT one is mentioning. If they are referring to NIT Rourkela, Warangal, Tirchi, Surathkal then they are good. The rest of the NITs aren’t up to the mark.

Metallurgical and Materials Engineering Department at IIT Ropar offers a B.Tech program, alongside a Ph.D. program. Since the establishment of the branch, it has involved a wide range of study areas, in India as well as other foreign countries. Mainly, it has shown a great scope of exposure relentlessly in these few years.

Sir P.K Raina, considered one of the main heads of the institute, is a Ph.D. holder from IIT Kanpur and knows how to incentivize new talents. At present, he is known as the Students Associate Dean of IIT Ropar. 

In terms of infrastructure, there is a separate building in the permanent campus, usually called the Satish Dhawan for SMMEE. There is a provision of only one lab located in the Transit campus - 1 of XRD. Other similar labs are located elsewhere,

1. RMML (Ropar Machines of Materials Laboratory )
2. Material Testing Lab

In case you are about to pursue your higher studies, then going for IIT Ropar is not at all a bad elective. 

Having read a few online reviews of the alumni, here are some things I got to know regarding your question. 

• Kurukshetra University is famous for giving supplies to students even if the student has done the paper well.
• The most important thing that makes clearing B.Tech difficult is the outdated syllabus and curriculum used in Kurukshetra University.
• There are so many subjects which are not even useful later on in your career. But they tend to teach it anyway.
• Finally, the results were announced way too late. The university needs a lot of improvements and amendments, just to stay updated so it can be considered among the good colleges.

The preparation for your exam is completely in your control. You can work hard everyday to reach your goal. Solving previous years’ question papers and model papers and a proper concentration on studies will help you to score better marks.