Chemical Engineering

There are few colleges only under Anna University that offer chemical engineering courses in Tamil Nadu. Some of the top ones are Alagappa College of Technology (ACT campus of Anna University), Coimbatore Institute of Technology, VelTech, etc. You may also refer:
https://www.shiksha.com/b-tech/colleges/b-tech-in-chemical-engineering-colleges-Tamil-Nadu.

You can visit this link.
https://www.shiksha.com/college-predictor

The fee details are not available on asked College website. However, on the basis of information gathered from other sources, the course fee is about Rs 21,000 per year. While the hostel fee is about Rs 56,000 per year.

LDCE offers the following Post diploma degree courses (PDDC) in the part-time mode as under:
1. Civil Engineering
2. Electrical Engineering
3. Electronics & Communication Engineering
4. Mechanical Engineering
So from above BE Chemical, part-time course is not available at LDCE.

Institute of Chemical Technology (Deemed to be University of MHRD/ UGC), Mumbai is the best. ICT has the 27 overall NIRF ranking while class 12th NIRF ranking for its Engineering courses. In November 2017, National Assessment and Accreditation Council (NAAC) Committee visited ICT and graded with A+ CGPA of 3.77 out of 4. ICT has been ranked amongst the top ten Engineering Institutes of India and 19th amongst the top universities if the country. It is also recognized at rank 4 amongst the Pharmacy Institutes. In the BRCS QS Universities ranking 2018, ICT ranked at 118; whereas, in 2019, ICT is 115 among all BRICS.

Chemical engineering is a discipline influencing numerous areas of technology. In broad terms, chemical engineers conceive and design processes to produce, transform and transport materials beginning with experimentation in the laboratory followed by implementation of the technology in full-scale production. https://www.shiksha.com/engineering/chemical-engineering-chp
You can also follow the link.

Scope of Chemical Engineering in India. Chemical Engineers are in demand at mineral-based industries, petrochemical plants, synthetic fiber units, petroleum refining plants, chemical industries, refineries, pharmaceutical companies, paints manufacturers, fertilizer industry, textiles sector, plastics, and explosives.

Placement is good for Chemical Engineering. Around 95% of the students got placed. The highest package is 32 LPA, average is around 8 LPA and the lowest is 6 LPA. All major companies visited the campus for recruitment.

For that, you should get knowledge about the various higher education levels, then you will have to know about the criteria of an entrance, and rest on forms and tests
Good luck for future.

No, you cannot be eligible for NIT Surat in chemical engineering. As you have an low score in Mains. You should now focus on April Mains exams and score good marks to get NIT Surat.