The method to put icons on desktop in LXDE is as simple
Go to the menu, display any that you want an icon launcher on the destkop, right-click on the menu, and choose "add a shortcut to desktop".
Another way is to go to /usr/share/applications from within a console or from PCManFM, and simply copy the desktop file that interest you to the /home/user/Desktop directory.
For the icon "Home", it's a bit different, because there is no desktop file all made, so as I needed one for PCLinuxOS Openbox Bonsai (and Edu), as it uses Lxpanel and imitates the ways of Lxde version, I made one.
You will find a copy for it at packages translations section:[-T-] PCManFM home.desktop
PS: for Trash I think Leiche method must be the right one. For network, what client do you usually use for your Samba share ?
PS-2 : Leiche, what about submitting your Trash.desktop file at the packages translation section ?