How active will the Swedish be in mission work? Part of the expansion of French influence into Huronia, just for example, was a result of the Jesuits. Would Swedish Lutherans try to convert the Hurons? It's very interesting if they do.
How far and fast would France try to expand? They almost certainly go north into Pennsylvania and west into the Ohio country. If New Netherland and England still get settled, expect Franco-Dutch and later Franco-British competition over northern Pennsylvania and/or western New York. Naval battles on lake Eerie are possible. Southward, the French would likely expand into Maryland, with the English still establishing themselves in at least southern Virginia. The border's likely to be either the Potomac or Rapahannock.
Sweden likely gets most of the OTL Lutheran immigration from Germany into New Sweden, leading them to expand into the great lakes water-shed. OTOH the fate of the anibaptist and/or reformed Germans is uncertain, but I'll discuss my thoughts below.
So you have the English firmly in New England, the Dutch probably still in New York until at least the 1660s, the French in PA/DE/MD/northern VA, and I'm going to go ahead and say the British still get Georgia and the Carolinas. For fun, let's have Penn's noble experiment in Georgia--which he will rename Jacobia after Charles' brother James. A bunch of anibaptists and other dissenters go there, and Oglethorp still decides to put his debtor colony there, recruiting some less pacifist folks to guard the Spanish border. And he renames it Georgia, because nothing says "yes, sir, you can have a charter" like changing a colony's name to reflect the new king. Now, with the anibaptists and quakers already there, South Carolina probably can't do that whole "make Georgia our cloan" thing they did OTL. I could also see the tidewater Virginians and North Carolinians growing closer, with the eventual absorption of North Carolina into Virginia. This pushes South Carolina to look more toward the Caribbean colonies, and their political leadership grows closer to that of the islands. New England, OTOH, has good relations with the Swedes because, hey, why not? I mean, they're both Protestants and neither has stuff the other wants.
The big question, IMO, is whether the British keep the New Netherland colony as a buffer against the French, or absorb them. Probably the latter. In which case, they could favor an alliance with Sweden against the Catholic powers of France and Spain. Sweden, France and England would all eventually have interests in the great lakes.
I see fragmentation as the likely result, with at least some of the colonies eventually becoming independent, slavery not penetrating as much into the deep south due to Georgia--Georgians would likely settle West Florida once the Brits got it--and some sort of union between Carolina and various British Caribbean colonies. New England and New Sweden either do their own thing or possibly vote to join together later on. New France is going to be interesting; siegneurial/plantation system is likely, and if/when there's a French revolution, strong pro-monarchist sentiment. A lot more like a Latin American country perhaps, maybe a North American Brazil with worse food and beaches?
Anyway, that kind of got away from me, but those are my thoughts.