Looks like people are using my node to sync their wallets. That's great!

I do have a domain associated with it, which you can use instead of the IP address.

node.aeon-wallet.net

Start simplewallet with the option "--daemon-address node.aeon-wallet.net:11181"

You could also just use "aeon-wallet.net" which currently resolves to the same IP (34.201.20.65), but if that ever changes, I will keep the DNS record updated for the "node" subdomain. When I add more public nodes, there will be a node2.aeon-wallet.net, node3, etc.

Sorry, but what do you mean by "start as root?"
Internet connection could be a reason... bandwidth isn't used a lot but this computer had no wi-fi card, I bought a cheap one a few days ago but maybe it's not really optimized (or good enough, even I'm not really far from the box).
Maybe there is a cmd to check the bandwidth?

BTW thanks already for all these informations, I'll try the different options you mentioned and see if I can find a way ;-)

@ thehihoguy

First of all thank you very much for your help !
Actually I have only 4Gb RAM, 4Gb swap. I see on your tuto on hidden jadestone (Thx for the good work !!!) that 12Gb is necessary.
Maybe it's the problem? If so, maybe I can't run a private node for the moment?
to answer your other questions, I downloaded last repository 9.12.
The messages are white. I waited maybe a couple of hours before to launch the process back, but not much longer. On the sync I launched back I'm now stuck on 415117, but I will wait longer to see if things get better.

I also followed your tutorial (CPU mining with Ubuntu) to try to mine with your pool, to test an alternative solution to run a node, but something went wrong at the end of the process :
1) I refreshed my wallet from the remote chain @ /u/Lespristy ----> ok
2) build the cpuminer ---->ok
3)) when I connect to the pool and try to mine, I have this message :

[2017-06-27 11:17:30] Using JSON-RPC 2.0
[2017-06-27 11:17:30] CPU Supports AES-NI: YES
[2017-06-27 11:17:30] Starting Stratum on stratum+tcp://serenity.hiddenjadestone.com:3333
[2017-06-27 11:17:30] 4 miner threads started, using 'cryptolight' algorithm.
[2017-06-27 11:17:30] Stratum difficulty set to 1000
[2017-06-27 11:17:31] CPU #1: 177.86 H/s
[2017-06-27 11:17:31] CPU #0: 176.78 H/s
[2017-06-27 11:17:31] CPU #2: 178.06 H/s
[2017-06-27 11:17:31] CPU #3: 177.31 H/s
[2017-06-27 11:17:33] accepted: 0/1 (diff 0.000), 762.01 H/s booooo
[2017-06-27 11:17:33] accepted: 0/2 (diff 0.000), 813.05 H/s booooo
[2017-06-27 11:17:34] accepted: 0/3 (diff 0.000), 814.35 H/s booooo
[2017-06-27 11:17:35] accepted: 0/4 (diff 0.000), 811.94 H/s booooo

booooo is in red, instead of the green yes! I see in yout tutorial.
It does not change even if I let it run for a moment.

So I assume it's not good 

Again thank you for the help, but mainly for your work on hidden jadestone, It's very useful for noobs like me, but it's also great for the community to have such places with resources and references.