r/CVwriting

I want to work under a professor at IIT Madras who is working on something related to Entrepreneurship during my 3rd year. Favorably 12month one.
But i want to build a positive impression during early stages so that i can have a better chance of getting an LOR in some cases. Here's my CV attached below. Help me in improvements.
Im thinking not making my CV more than 1 page. Thanks in advanced

PS The hidden parts are not useful as of now, and i dont want to make it public for now.

I went to uni as a mature student and while studying my mum got very sick. When I graduated I became her carer until her passing in September 24 (I also worked part time for some of this time so I could pay my rent - I gave this up in June 24 as my mum needed someone 24/7).

After a period of grieving, I have been applying for jobs without any success at all, not a single interview, and I’m wondering if this is in part because of the gap, I don’t know how best to address this on my cv? At the moment I have acknowledged it in my personal statement, I said I took time away from employment to care for a close family member. Should I list caring as I would a job? What about the two years since her passing? I also do a bit of work as a freelance artist but it’s here and there rather than a steady income, should I list this too?

Would hugely appreciate any advice please 🙏🏼🤍