Firstly, Seamonkeys, I found, don't make that good pets after a couple of weeks.
You can't clean the tank they come with, and so it gets disgustingly mucky. The water is the same. Plus, the water quality obviously fails - and to be honest, I think thats what killed mine. I also ended up running out of food.
I don't intend to sound harsh or mean, but I just think you'll be really dissappointed when a couple of weeks down the line, its all so dirty, you aren't sure whether your seamonkeys are alive or not.
They sound fab, but they aren't that great in reality.
Anyway, To answer your questions:
The Black dots may be eggs or bacteria. I never experienced this myself when I once had them. Most likely eggs, if the eggs were black. If not, probably bacteria or rotting eggs (you said you didn't have many). Either way, if there are eggs in there, its unlikely they're gonna hatch after so long.
When they die, it is unlikely that you'll be able to see them, mainly due to their minute size. Even if you can/could see them, there's no way of getting them out, as if you try, you'll probably take a load of living seamonkeys with them.
Im sorry that you're little pets didn't work out so great, but I guess thats a danger when the eggs sit in packets for so long - you know, just sat there.
If I were you, I'd get a small aquarium, maybe just 4+ Gallons, and put a Betta in there (they can live in 3 Gallons, which is the absolute minnimum for a betta, but they're happier in Larger homes. And you could give him a tankmate or two at this size, whereas you can't with under 4 gallons). They're a really hardy fish, with beautiful colours and fins, and they're cheap too if you're on a tight budget. Plus, they don't have to 'hatch', so what you see in the pet store, is what you see when you get home.
And, the aquariums can be, of course, easy to clean, and keep clean - well in comparison with the 'tanks' you get with seamonkeys. And they can make a fabulous display in a room as well.
Good Luck with your watery pets, whatever you do = ]