A fuge is a nice way to help add extra filtration to your tank, but they are not a quick fix. Mine is still in its infant stage and it has been up for about 2 months.
There still seems to be controversy over wether or not to do water changes during cycling. I think it prolongs the process. Adding LR
to your tank puts a temporary weight on your bio load. Since you added a large batch of live rock after your tank had spiked the first time, you were more than likely going to cycle again.
I think the issue at hand is really a matter of time. Your tank is only 10 weeks old. Having these kinds of water problems are commonplace at this stage of the game. Your skimmer should help quite a bit, but again, don't look for immediate change.
We have all dealt with these and similar problems while setting up our tanks. It took my reef tank 10 months before it finally matured. Don't lose patience, the rewards come back 10 fold.