The first looks like a red melon sword-
http://www.plantgeek.net/plantguide_viewer.php?id=87 , looks to be buried a bit deep. after planting give a little tug to get the plant right at the top of the substrate but the roots buried. also has other special requirements. see the article above.
2) Is Nymphoides "taiwan"
http://www.plantgeek.net/plant-274.htm - I have some and love it. Although more boisterous fish will break it easily.
The second plant in that tank looks to be a crypt of some kind.
3) This looks like the Anubias in front of the sword-http://www.plantgeek.net/plantguide_viewer.php?id=15
4) I believe this is indeed moneywort, but moneywort IS an aquatic plant-
http://www.plantgeek.net/plantguide_viewer.php?id=34
Carol