Welcome to the Project MoodleNet forum! Perhaps you could introduce yourself?
Thanks for the questions, which I'll answer below:
1. Will it be possible to connect the account from a local Moodle system with MoodleNet account?
Yes, that's the plan. So Project MoodleNet will be separate to a Moodle learning platform installation. However, at some point after MVP we'll make it really straightforward to integrate the two.
2. Can I connect my personal accounts from different Moodle sites to one MoodleNet account?
That sounds like something we'd definitely want to explore.
3. When I move from one institution to an other institution, can I cut the connection from old institution and connect with new one?
Yes, that sounds like a logical extension of the above. To comply with GDPR we'd have to allow (and would want to allow) that to happen.
4. When I have a year old moodle.org account can I use it within MoodleNet and connect it with the Moodle sites where I teach?
The idea is to connect everything together. Right now, we expect to be using OpenID Connect for Project MoodleNet, which should make it easy to combine/connect all of your Moodle identities. What we don't want is confusion, so we'll be looking to make this as simple as possible. In the short term, we may keep the identities separate, but the longer-term plan is for you to just login using one account for everything Moodle.