Unfortunately the news I have for you is not "good". Brooklynella hostilis, aka clownfish disease is not quite that easy to get rid of, and your eel will also be in jeopardy if it has only been 1.5 wks since your fish died and you did the tank cleaning.
This parasite feeds on live fish for a host, and if the only fish available in the tank is the eel, it is likely to become infected. That tank needs to go without fish for a good month and your eel should be treated in a QT tank with formalin. Raise the main tank temp by 2 degrees to help kill the parasite.
Parasites that feed exclusively on live fish for hosts can be eradicated from the tank, but only if there are no fish for it to host on, and for a long enough period of time to completely starve out the life cycle of the parasite. 1.5 wks is not enough time for this to happen, and if there are inverts in the tank then any medicinal treatment must be done in a QT.
The other not so good news I have for you is that once your eel gets large enough he is likely to feed on many of the inverts in your tank. Shrimp especially will be vulnerable.
Please be careful with the pvc for shelter. As your eel grows he is liable to get stuck inside the tube. I have seen this happen in various species of eels and bottom dwelling fish that are known to get large. You'll want to make sure he has plenty of shelter in the QT tank, too. Please don't remove anything from the main tank and add it to the QT tank with the eel, as this is likely to bring the parasite with it, and may make it more difficult to protect your eel, even with the meds. Most meds will absorb into live rock, making it then unsafe to keep with inverts afterwards.
Live rock is still going to be the best shelter for the eel, so there should be a lot of it in his tank.
Because this parasite is so fast to kill, I would strongly suggest doing the QT and formalin treatment asap, and consider adding a UV sterilizer to your main tank.
If your infected fish came from your local LFS, I would strongly suggest finding a new source for purchasing fish. It is highly likely that their tanks are also infected, and because of the way a LFS stocks its tanks (ordering new fish weekly) the parasite is going to survive and thrive in their tanks. This only means it will continue to reinfect your tank with any fish you bring home from that LFS. The only way the LFS is going to be rid of this parasite is to do some major treatment of infected fish in the tanks, or to empty those tanks and let them either sit for a good month empty, or to be dried out and bleached and started over. I have worked too many yrs in LFS's to know standard procedure in the majority. You might want to let them know what they're dealing with. If they want some useful information, you could print out the information found on this link and hand it to them. http://www.fishvet.com/Brooklynella.htm
At the same time I would also inform them that you won't buy anything from their tanks because of the risk of reinfesting your own.
When you read that article, please be aware that acriflavin will stain anything it touches. If you find you need a more potent treatment for your eel, please only use the acriflavin in your QT tank and be careful what it comes into contact with.