You will be just fine. I am so very sorry to hear about your cousin, my situation was not the same, but grade-wise I did very poorly in my undergrad as well (failed at least one entire semester and half of several others due to depression). I finished my undergrad with a 2.81 and did close to 4.0 work in my year and a half of post bacc work. I think at the time I applied for grad school, I had a 2.96. I finally got above a 3.0 (3.01!!) following my last semester of post bacc coursework. My GRE scores were similar to yours. I think I had a pretty strong personal statement (I didn't address the specific reason for my poor grades, but just said I had matured and found something I was passionate about and committed to, and that my post bacc grades were evidence I could be successful in this field) and LORs.
I will not say the application process was pleasant-I applied to 9 schools and was only admitted to 1, and it was one of the last ones I heard from. I spent a lot of time from late February to late March ugly-crying, wondering how I could have ever been so stupid to even try this, and hating myself for not having my sh*t together in undergrad, but it really only takes one school to say yes for things to work out for you. Good luck and feel free to PM me!