I got past this on my second try. Keep running, try to stick to the trees and never stop to apply first aid. Once you get to the thicker tree area you can relax a little.
As for the boat thing, the last paratrooper wave can get in your way if you don't return fire. Keep moving towards the boats, take cover on the trees and try to snipe a guy or two before moving again.
Once I got to the denser tree area I went a bit east, killed three paratroopers (one of them mid-air, yay), and then proceeded to move towards the boats returning fire once in a while. I was actually the last to get to the boats, but maybe sticking to your teammates can help. Try to move when they are returning fire and fire yourself while they move.
Yes, this part of the mission is not exactly in compliance with standard gaming rules, but if you act like you would in real life*, you can make it.
* Disclaimer: I don't have a clue what I'm talking about.
EDIT: I have to say I loved this first episode. I hope the rest of the campaign is just as epic. I can't wait!