How to interact with people?

Im in my first year of uni and I feel like no matter how much I try to be straightforward with my intent of non-threatening people are always assuming the worst of me. I'll try to keep this brief and just address the main outline:
I'm doing a group project and I was trying to give some constructive criticism and one of my team members started accusing me big time of devaluing their work and being narcissistic.

I cannot stress enough how much I don't care about trying to attack you OR your work. I just want to know if you need help bc personally I couldn't make heads or tails of your section. Literally just want a good grade and this team just wants to submit the project the second everyone has something down without doing any discussion.

Honestly, trying to get some insight because I feel like this always happens. I have some decent achievements to my name but I feel like bringing that up out of the blue would REALLY make me narcissistic. How do I build rapport with people in these scenarios? What should I do overall?