I'm a soon-to-be grad from a Top 5 Canadian school with multiple internships (no big names, unfortunately), it's been very difficult for me to get callbacks. In fact my ratio of getting past the first screen is about 2/125.
I would blame your experience more on the market.
You can’t meaningfully apply for hundreds of jobs. Apply to 3 or 4 and spend 10x longer on each application. Email the recruiter telling them why you are interested and a good fit, tailor your resume to each one.
I’ve sat on plenty of hiring calls and in my personal experience there are just too many candidates applying with the completely wrong credentials or background using LinkedIn “easy apply” or the equivalent. Nearly all of those just basically get “easy rejected” on our first pass through candidates.
Nobody cares what university you went to.