The progress here is looking really good. There's still a few river issues on the first map, as well as some on the second:
1. toward the south, there's a collection of three nearby lakes. All three of the lakes are connected, and between them there are 4 outlets to the sea, all being fed by one set of streams from the mountains, which would be a highly unusual situation. The interconnectedness, per se, isn't the problem, but the number of outlets to the sea that a single stream is feeding. To fix this, you could do several things: (a) split off the different outlets to the sea and have each fed by a different set of (non-connected) feeder streams or (b) eliminate some of the outlets and let only one outlet dominate. Additionally, it would be unlikely that a river would split to feed two different lakes. Take the Great Lakes as an example: while they are all interconnected, each has an exit river that feeds the next lake, forming a chain of lakes rather than a web.
2. Just north of that, there are several more interconnected lakes with 5 outlets to the sea.
3. On the western promontory, there are several feeders heading to one lake with two exit rivers (one of which immediately splits). One of those exits feeds another lake, which also has two exits, so that at the end, you've got a total 5 outlets to the sea here.
4. Toward the east, around the volcano overseeing the marshland, you've got a lot of rivers feeding into what I think is a single outlet to the sea (which is good), but in the headwaters just north of the volcano is a set of small lakes that are meshed together. To fix this one, just chain the lakes together with one line of rivers (they can have other rivers feeding into them, but have only one exit that continues downstream), or break off the links between them and have each feed the downstream river separately.
5. On the northern cape/horn you've got a river that splits partway to the sea into two outlets.
Quick rule of thumb: starting at the sea, I shouldn't be able to trace a line upriver and then back downriver to the sea again at a different location without ever leaving the water. Many streams feed into fewer and fewer major rivers as they go toward the sea.
1. Northwestern island: one lake with two exit rivers going to the sea.
2. Northwest corner of the mainland: A medium round lake has many feeder rivers and one exit to the sea, but one of it's feeders appears to be from a river that splits and feeds another lake that also has an outlet to the sea. That feeder would tend to feed one of the lakes or the other, but not both.
3. Southern Coast of the midwest, a small lake has two exits to the sea.
4. The southeast on the western cape, two exits to the sea from a single lake.
5. The southeast on the eastern cape, two exits to the sea from a single lake.
Anyway... that's all that I can find. Haven't looked at the third (posted just now) map, so no comments on that, yet.
Points of praise: Overall, this looks great! Good luck with the rivers.