Which modpack? What are you using to start it? What OS are you using?
Forge : [10.13.4.1558,)
Check the crash reports and logs folder and see if there is a log from when you try to start the server.
To run Bukkit plugins with mods you need to use Thermos.
Remove resource loader from the server, it's a client side mod.
You cannot automate bee houses, you need an apiary to be able to connect ducts or transfer nodes.
Post the crash report, it's impossible to say anything without it.
Try increasing the allocated ram to 6gigs.
Use Java 8.
Java 1.8 is what you need, Java 1.9 does not work with ftb.
You can still download the old FTB Launcher, under the red Download Now button click one of the links to the legacy launcher....
Put the log here http://paste.feed-the-beast.com/ and then post the link here. The link you posted is a location on your pc and we cannot access it.
Check the memory allocation, your log says only 3G is allocated, -Xmx3072m
Post the log.
Take a backup and use MCEdit to remove this block,
Block location: World: (195,56,64)
Check the versions tab in Twitch App, there is a 1.2.3.Curse (Beta) version that fixes NEI.
1.10 packs usually require at least 4 gigs of allocated ram, 5-6 is recommended. You can change the ram allocation in the twitch app settings, but...
How much ram have you allocated to the server? You can find the log in the servers logs folder.
Put the full log to paste.feed-the-beast.com and the post the link here, the image you posted does not show.
Separate names with a comma.