Not enough comments in thread. New account. Weird facts, some of which is contextually pseudo tech.
So yeah, A lot more evidence needed. Pcap dump? With your skills I'm sure you can redact anything self identifying.
Edit: forgot the weirdest part. 127TB for data? Example: At full 1GB/s that's 12+ days flooding that link. To sneak that much data out would take weeks.
Also I don't buy someone with serious data doesn't have some physical backups.
Worked in UK universities as an Enterprise Architect. Can confirm you can't rely on those email addresses. It is a gift most Unis provide to graduates, but they're not obligated to maintain it, or fix it when it goes wrong.
As per above, register your own domain name (I use my own full name .co.uk). This allows me to have lots of email addresses for (shopping@ work@ games@ amazon@ etc etc). Also, if the email host gets too expensive, does something you don't like, or just cuts you off, you can point your domain name to another host and pick up from there. Obviously it is a good idea to keep a local backup of your emails (thunderbird or outlook) just in case.