Hi Danny and welcome on the forum!
Yes you can install Spine on up to two computers at the same time, as per our FAQ page: Support: Can I install Spine on multiple computers%3F
Of course, we also offer courses and tutorials.
I think a great place to start is our user guide: Spine User Guide
which is both written as well as offering a nice playlist of videos to show you how to do things.
If you want to jump straight in trying to do something with Spine, this might be a good video:
If you like to see complete processes and rigging in real time, here's a collection of twitch streams with downloadable projects:
Spine: Twitch
(I suggest navigating this with the subchapters by finding what interests you the most)
If you're a person who prefers to be mentored, we also offer workshops for your team or one-on-one:
Spine: Workshop
If you want to make quick little questions, ask for feedback, make casual conversation and find fellow Spine users, here's the UNOFFICIAL Spine discord:
https://discordapp.com/invite/aA4ss3j