I'll answer respls questions at face value re what Scottish independence would mean for
1. Scottish people in Scotland?
Self-determination. Control over our own affairs as we would have a say in all our affairs and not be vetoed by WM (NB: in the EU, the UK never lost its sovereignty and had a veto over significant matters. We don't have that in the UK 
2. Non Scottish people in Scotland?
If they are resident at the time of independence, they can choose to take Scottish independence if they want. Otherwise, they can retain their existing citizenship (dual if allowed by their current nationality). Scotland as a country is needing more immigration - it's one of its frustrations that it has no control over immigration policy. So it is highly unlikely that an independent Scotland will pursue the (UK) Home Office's "hostile policy" towards potential immigrants.
3. Scottish people within the remaining UK?
Presumably they are currently UK citizens. They can either retain their UK citizenship or they can choose to take Scottish citizenship. Scotland will allow dual citizenship as does currently the UK, so therefore this shouldn't be an issue (unless rUK chooses to make it one). When Ireland became independent, people could choose either or both and the Common Travel Area was created, so it would be spiteful curmudgeonly if rUK did otherwise.
4. Scottish people overseas outside of British Isles?
The Scottish Government proposed in "Scotland's Future" (the lengthy, c460 page tome that was produced well in advance of the Referendum that has already been mentioned ) that anyone with Scottish grandparents could claim Scottish citizenship (and would also allow dual citizenship). This would be similar to how Ireland deals with its diaspora.
And 5. if I may also ask is this because of the current UK mess Brexit & Covid or despite?
#I voted Yes in 2014 for all sorts of reasons, mentioned above (self-determination) and because I didn't trust the Conservatives re the EU a distrust that was proven true
Going back
In the current climate what hypothetically would an independent Scotland look like?
No idea: the point is that we would then we able to vote for a colour of government of our choosing (see above re self-determination). So that will be up to the people of Scotland. I suspect it would tend more to the left than WM - but it doesn't have to be 
It's whoever we choose to vote for 
Labour can re-invent itself as a party for Scotland and not just a branch office. I might even vote for them again. The Conservatives could rediscover their "One Nation"paternalistic roots and stop being such right wing bastards (I still don't see me ever voting for them though ).
Would a totally independent Scotland be politically and economically separated or independent from the other remaining British home nations?
That depends on WM. Its attitude towards the jointly owned BoE suggests it would've obstructive, so Scotland will end up having to go it alone. Like Ireland did with the punt , it may shadow the £ Stirling for a while before diverging. It has to have its own Central Bank to join the Eurozone (which is not actually, contrary to what some say, a requirement to join the EU - indeed, you need to prove fiscal prudence before joining the Eurozone)
What would be the preferred position for business and social links with other European and transcontinental nations globally including the remaining Commonwealth?
See above re immigration. We need more of it and don't see the issue that WM seems to have with certain Commonwealth countries having too much access 
The current position is that an independent Scotland would seek to rejoin the EU as quickly as possible. It currently meets all the requirements as its laws are, by definition, aligned (both from pre-Brexit Day and because no contradictory laws can be implemented during transition). It is the Scottish Government's intention to maintain the acquis communautaire (which as a constituent member of the UK which at least up until 31 December has to abide by and implement any and all EU laws as a former member and as part of the transition agreement). Post 31 December, Scotland may have to repeal and/or re-instate some laws as a result of the WM "power grab" in the Withdrawal Bill which allows them to override devolved powers in order to sign US trade deals
NB: there is no queue per se to join the EU. All you need to do is meet its requirements - primarily the acquis communautaire - which at the moment we do.
Unfortunately, because of WM trying to wriggle out of its commitments in the WA re the border between NI and Ireland, and the way it is trying to renege in the "Level Playing Field" commitments in the PD, I envisage that there will after all need to be a hard border between Scotland and England (although being much shorter and with very few road crossings, much easier than the NI/Ireland one), as WM doesn't seem to understand that "everlasting cake with a cherry on top" is not possible, and that the value of the Single Market as a whole to the EU is worth more than (English) exceptionalism.
It might be an opportunity for Rosyth and the West Coast deep water ports to re-develop themselves
I think I've managed to answer that with a straight bat and without rancour.
This is my 2nd attempt to post as my first one disappeared in to the MN ether
No, this is my 3rd attempt at my second attempt also disappeared into the MN ether although at least this time I remembered to copy and paste before pressing "Post" 
No this is my 4th attempt, now done via copying, pasting and emailing to myself so that I can post it on my laptop