Patiala

Yes, as per the description on shiksha.com and their website, the BCA course is available there. Please, visit the links for more information:
https://www.shiksha.com/university/Punjab-university-Patiala-24117/courses/bca-bc
http://www.punjabiuniversity.ac.in/index.aspx.

Thapar Institute of Engineering & Technology offers undergraduate programs leading to a Bachelors degree in Engineering and Technology, Post graduate programme in Engineering Science and Arts, and Doctoral programme.

Please visit this site first-
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/amp/jee-main-exam-cutoff&ved=2ahUKEwiPjtj8_LvhAhVIcCsKHSAnB10QFjAAegQIBRAC&usg=AOvVaw0iFAYbXCMPRZzeFBDWnX1Z&cf=1.

Hello Deepika,
Thapar Institute of Technology is one of the best-known institutes in Punjab and Northern India. They are well known for their intensive coaching as well good faculty. I feel if you are getting admission in this great institute for a Masters degree, you should not hesitate and take admission straightaway. I am sure you will enjoy your studies and also will never regret this decision.

Yes, it is available.

Punjabi University - [PU], Patiala is the best in terms of placement, other good institutes include:
Multani Mal Modi College, Patiala
Asian Educational Institute, Patiala.

General Shivdev Singh Diwan Gurbachan Singh Khalsa College,
Multani Mal Modi College,
Khalsa College,
Jagdish Chandra DAV College.

In TIET, every year more than 90% of students get placed from my branch. This year 5 students got placed in Microsoft with CTC INR. 40 LPA. Thapar Institute of Engineering and Technology takes students on the basis of marks secured in JEE. Placement varies from branch to branch like computer Science has 100 percent.

It depends on your stream. With this score, the chances should be average. Maybe, civil and that too the last round of counselling. Moreover, you also need to appear for JEE exam.
There might be very slight chances to get a mechanical seat probably in the very last rounds.
I hope for the best.