JEE

First of all, you cannot appear for JEE Advanced without clearing JEE Mains. For clearing JEE Advanced you need to clear the JEE Main exam and secure a rank among the first 2,50,000 as per the merit list. Once you clear JEE Main exam you are eligible to appear for JEE Advanced. JEE Main is conducted for providing admission to the National Institute of Technology, Indian Institutes of Information Technology, and central or other government Institutions all over the country. JEE Advanced is conducted for providing admission to all Indian Institutes of Technology (IITs). JEE Main and JEE Advanced are both exams are conducted at the national level. If we compare both exams, JEE Advanced is a little tougher than JEE Main exam. I hope this will help you.

You can apply to the below-mentioned Government and private colleges of Haryana. List of Top 10 government colleges in Haryana.
1 YMCA Faridabad- JC Bose University of Science & Technology
2 UIET Kurukshetra- University Institute of Engineering & Technology Kurukshetra University
3 NIT Kurukshetra (National Institute Of Technology)
4 GJU Hisar- Guru Jambeshwar University of Science & Technology
5 BPSMV Sonipat- Bhagat Pool Mahila Vishwavidyalaya
6 DCRUST Murthal- Deen Bandhu Chhotu Ram University of Science & Technology
7 UIET MDU Rohtak- University Institute of Engineering & Technology
8 CCSHAU Hisar
9 Rao Birender Singh State Institute of Engineering and Technology, Rewari
10 CRSSIET Jhajjar
List of Top 10 private colleges in Haryana.
1 The NorthCap University, Gurgaon
2 BMIET Sonepat- BM Institute of Engineering & Technology
3 SRM University, Delhi NCR, Sonepat
4 Shree Guru Gobind Singh Tricentenary University, Gurgaon
5 Lingaya Vidayapeeth, Faridabad
6 BS Anangpuria Institute of Technology and Management, Faridabad
7 Amity University Gurugram
8 BML Munjal University Gurgaon
9 Om Institute of Technology and Management
10 Manav Rachna University (MRU), Faridabad.

According to the information you have provided, you have no chance to get admitted to MIT. However, You may get Admission to MIT in one and only one branch which is Production engineering. Last year cut off of MIT college for the SC category is
1- For Aeronautical Engineering branch: 7479
2- For Computer Science and Engineering branch: 3466
3- For the Automobile Engineering branch: 14098
4- For Production Engineering branch: 17608
5- For Electronics and Instrumentation Engineering branch: 7729
For more information, you can use the Shiksha JEE Advance college predictor tool (https://www.shiksha.com/engineering/jee-advanced-college-predictor). I hope this will help you.

According to your information, you have very little chance to get admission to Raichur for Computer Science and Engineering or Electronics Communication and Engineering branch. Also, the result depends on your domicile, and what you have not shared. However, you may get admission to Solapur in Computer Science and Engineering or Electronics Communication and Engineering branch. The distance between Raichur to Solapur is only 225km. A list of colleges in Solapur where you may get admission to CSE or ECE branches.
1- A. G. Patil Institute of Technology, Soregaon.
2- Shree Siddheshwar Women's College of Engineering.
3- MIT College of Railway Engineering and Research.
4- Karmayogi Engineering College.
5- Brahmdevdada Mane Institute of Technology.
6- Vidya Vikas Pratishthan Institute of Engineering and Technology, Solapur. For more accurate results, you may use the Shiksha JEE Main college predictor. (https://www.shiksha.com/engineering/jee-main-college-predictor). I hope this will help you.

Yes, you may get admission in NIT Uttarakhand with a 10328 ST rank in JEE Mains, but in the Special Round. The closing rank for the National Institute of Technology, Uttarakhand, in 2021 for most of the courses was under 10,000 for almost every branch of BTech.
Therefore, based on previous year's trends, you may have some chances to get admission in branches like electronics and communication engineering, civil engineering, and mechanical engineering in a special round. The accepted rank for admission in a special round for the BTech in Electronics and Communication Engineering branch was around one lakh.
However, you may not get admission during regular rounds.