Hey i've got many suggestions when it comes to website maintenance i've found from the beginning it really very hard to navigate this site. Please don't take any of this personal I am no professional, but here are some things that I personally would consider doing to help ease of use.
My first thought is you need to do way to much scrolling which is very frustrating. Their really is no need for the huge pictures at the top like Giroux, Xbox 360 logo, Live every shift, Welcome to Hockey lives here and all that extra large typing is unnecessary. Example look at this Gm connected league top of page how clean it looks http://momleague.forumotion.com/.
My next suggestion would be to steal the team logo's like the website provided and have them at the top the same way and then add links of each logo directly to PM the GM of that team. Example you click on Habs logo at the top you go directly into personal message to me.
After that i would eliminate the teams section completely its too big and time consuming, and along the top now where you have Home, Faqs, Search, Members, Groups etc I would add Lineups and have a drop down menu with every team there and a link to there lineup where trade block etc can be done. Also I believe the info in Past section could be done drop down style as well as confirmed trades and General.
This would put almost all of the info you need right directly in front of you so you don't have to look around for it. For organizing games just PM your opponents for trade block do it in the lineups section etc.
Anyway as I said i'm no expert those are simply my feelings on how to improve the ease of use. I've got a few more minor things that could be tweaked as well if your interested in any of the ideas if not no worries.