Lady Shri Ram College for Women, University of Delhi

Yes, you are eligible.
For details visit: https://www.shiksha.com/humanities-social-sciences/history/course/b-a-hons-in-history-lady-shri-ram-college-for-women-lajpat-nagar-delhi-52391

Eligibility criteria for admission:
a) Eligibility for entrance mode admission:
Candidate must have done B.A. (Hons.) or B.A from any recognized university with a minimum aggregate of 50% or must be a graduate from a recognized Indian university with a minimum aggregate of 60%.
b) Eligibility for merit mode admission:
Candidate must have done B.A. (Hons.) in Political Science from the University of Delhi with a minimum aggregate of 50%.
For details visit: https://www.shiksha.com/humanities-social-sciences/political-science/course/m-a-in-political-science-lady-shri-ram-college-for-women-lajpat-nagar-delhi-88545

You should apply online for registration in DU on and after May 24, 2019 but before the closing date on its portal, following the registration process and wait for 1st and subsequent cut off lists to be issued by DU for Political Science. Choose the best available. Be happy.

The online registration was started from the middle of May-2019 and will continue till first week of June-2019. For more details and admission schedule use the following http://lsr.edu.in/Admission-Schedule-June2018.jpg.

As per the latest Delhi University rules, 2% deduction will be done on stream change.

No, you can't get admission in B.com (honors) in Lady Shri Ram College without Math. It is compulsory to have Math for it.

Your academics are good. So there is a very good chance to get this course by given college.

Check out the link given below:
https://lsr.edu.in/cutoff-2018.asp

For answering your question I am attaching a link below:
https://www.shiksha.com/humanities-social-sciences/psychology/course/b-a-hons-in-psychology-lady-shri-ram-college-for-women-lajpat-nagar-delhi-52422

Yes, you are eligible.
Eligibility criteria for admission :
Minimum 45% required in class 12th with Mathematics as a mandatory subject.
Aggregate of one language and three best elective subjects would be considered as best four subjects (BFS).
Environmental Education (ISC), Fine Arts, Graphic Design, Painting, Dance, Music, Physical Education, Home Science, Engineering Drawing and all other vocational subjects are not considered as BFS.
https://www.shiksha.com/accounting-commerce/course/b-com-hons-lady-shri-ram-college-for-women-lajpat-nagar-delhi-52364