UPES

The eligibility criteria of CSIR UGC NET M.Sc. Or equivalent degree/ Integrated BS-MS/BS-4 years/ BE/ B.Tech/ B.Pharma/ MBBS with at least 55% marks for General (your) and OBC candidates and 50% for SC/ST, Persons with Disability (PwD) candidates. Candidates possessing only Bachelors degree are eligible to apply only for Junior Research Fellowship (JRF) and not for Lectureship (LS). Age criteria for JRF (NET): Maximum 28 years {upper age limit may be relaxable up to 5 years in case of SC/ST/Persons with Disability (PwD)/ female applicants and 03 years in case of OBC (Non Creamy Layer) applicants}. So from above you are eligible for JRF only not for Lectureship (LS).

Haan, kyun nahin! Kaafi log aisa karte bhi hain. B.Sc se toh help hi hogi. Condition ek hi hai ki aap waqt kitna de sakenge, schedule manage karna bhi asaan nahin hoga. Agar aap confident ho ki kar loge toh ho jayega.
11th 12th ka syllabus aapne agar achhe se padh rakha hai, concepts clear hain kaafi toh saath-saath kar sakte hain. Lekin agar clear nahin hai aur aap coaching bhi karna chahte hain NEET ki toh self-study ke liye time bahut kam mil sakega, phir pressure badhne lagta hai kyunki coaching institutes mein bhi October se test-series start hone lagte hain, iske liye studies ke saath-saath question banks and mock tests bhi dete rehna padega. Full time college and coaching karte huye self-study and practice mushkil ho jayega.
Aap online test dijiye individual har subject ke, phir dekhiye ki aapka abhi level of understanding of concepts kaisa hai. Uske baad decide kijiye.
All the best! :)