Counselor

Almost all the colleges in Hyderabad are AICTE approved and all EAMCET colleges are also approved.

Please refer to this link for all the details:
https://www.shiksha.com/mass-communication-media/film-tv/exams/ftii-jet/pattern.

Confirm the offer from IBS officials. If it is a fraud they will tell you so. Go to their website and find the contact information. Tell them your situation and they will tell you accordingly. Approach the police in case of any fraudulent activity.

To become a certified counselling psychologist, one can pursue BA and MA in Psychology and Ph.D in Psychology.
Even if one has done Post Graduate Diploma in Psychological Counselling, he/she can be called a counsellor.

You can do your MBA in Germany. You need to take IELTS and the requirement will be a minimum of 6.5 band overall and each component (minimum of 6 band). You also need to do a German language certificate course. Normally, for Germany, the education agents will be charging service charges of INR 25,000 to 50,000/ as they will not get any commission from the university. It is better for you to apply through an education agent who will guide you for visa and other processes.

There are good chances under All India Quota. Either way, I congratulate you.

Yes, you can easily get mechanical branches in good colleges like Dayananda Sagar College of Engineering, JSSATE-Bangalore, etc.

Yes, to be eligible to sit in CLAT you have to pass +2 from a recognised board or any board equivalent to the recognised boards. Since your board is recognised (https://agc.ac.in/php/boards.pdf), you shall be eligible to sit in the CLAT, AILET, BHU, JMI, AMU GGSIPU and other 5 year law entrance exams.

Well, there is no specific book for DTU LEET preparation, but there are plenty of books for other Leet exams and the most popular is by author Vaneet & Gurmeet. Here is the reference for that book LEET (Lateral Engineering Entrance Test) Objective Typehttps://www.amazon.in/dp/9351920453/ref=cm_sw_r_cp_apa_i_VphwAb6AJP8VQ.

You can refer to the link and have a look at the syllabus:
https://www.shiksha.com/teaching-education/middle-school/exams/otet/syllabus. You can get the guide from book stores.