Magister

have you tried fully uninstalling and reinstallling java? as i said earlier if it was running when your computer went down it could have become damaged

OpenAL64.dll problem is being caused by the 64 bit sound from minecraft, switch to java 32 and you should have no issue

Connection refused: connect means something is activly stopping the connection or forecfully closing the connection, either router, firewall or av, most likely not a tekkit problem but a problem with your compuer and or network, and since nothing should really effect anything on the loopback adapter then you need to start looking at other programs you have running on your computer

permission denied and connection refused shows that something is activly shuting down the connection or forcefully closing the port, that points to either a firewall or av program that is doing it double check the port setting for the server in server properties and add it to the at the end of the ip when trying to connect, and dont use localhost use 127.0.0.1:port if you are running it on the same machine

the iron shovel has the same item id as another item, find the mod that is using the same item id and you can also fix this problem i have had this issue with a wodden axe before

response code 503 means the authentication servers are either down, unreachable or overloaded, all you can do is wait or keep trying

i have seen the balls stay after they are picked up as an after image similar to the left over of tnt when it explodes, and are you sure you have enough inventory space for them to enter? i have seen videos if you do not have enough they follow and rotate around if you do not have enough space

you will need to modifty ip routing tables make sure the server properites ip field is blank, this should allow the server to bind to which ever network adapter has the lowest metric or the highest priority you will then neeed to add static routing and firewall exceptions for the hamachi networks in order to forward packets i am not very familliar with mac osx networking configuration, and this is not going to be a very simple thing to do it will take some time looking into the various things and how they are done on your OS, good luck

if you had your players connecting using your outside ip then you need to check and make sure it did not change, if it has changed that would be the problem and just give out the new ip

fully unzip the archive to a permanent folder, running the bat out of the zip for one is not the best of ideas and two it makes your server run out of a temp file which may lead to some bad things, also to solve the java not being reconized if you search that in google there are plenty of video walkthroughs and long detailed explonations of how to fix it

you have two hamachi network connections for the one server if i understand correct?

clearing the cache can be done from the launcher, should be in the options menu near the login it will require you to redownload all the game data afte java.lang.NullPointerException generally points to duplicat item ids, when you change an id make sure you dont change it to one of a vanillia item as it will not be listed in the config files http://www.minecraftwiki.net/wiki/Data_values

i would guess by your log that you upgraded from 3.1.2 to 3.1.3, i am also guessing this is your client since you are not saying which it is it would appear you have two copies of the advanced machine mod in your mod folder, you can delete and redownload, or manual remove the duplicats.

the moving objects is most likely due to inventory tweaks, i believe the key to auto arrange the inventory is R and i know that some items when it attempts to auto arrange it acts weird, also sometimes the inventorys on the player and chests arrange from it as well from what i have noticed. as for the items disapears that can be due to lag, same can happen when place an item in a chest or taking it out and then it never actually moves

check the server log, if it says nullpointerexception then you have duplicate item ids and that is what is causing the problem

what was the nature of the computer crash? have you tried reinstalling java, any time something is running and a full crash happens you can get coruption and it is possible that java itself is causing the problem

try removing the advanced machines mod, i know there are links somwhere in the forums of updated things for alot of the ic2 that has been causing issues but i am not sure exactly other option is to just use the 3.1.2 server

you get that when you try and start it or after you have gotten into a game?

you should have no problem joining servers, some mods care about the ids and if they do you will get a message about the item ids not matching the server, but i havnt had an issue with tekkit when ids are changed also when you do the first run with a tekkit server some of the mods assign ids at that point from a range you can test it by first running a server and then removing the configs and doing it again, you will notice differences in some of the mods configs also it makes it interesting when trying to move world saves from one server to another server that has different ids

start menu, in the run box type %appdata% press enter a window should open open .techniclauncher open tekkit open config open the config file in that location that belongs to the mod causing the issue and change the item id, can be opened in notepad a way to find conflicts and test for open id numbers that can be used start menu, in run box type cmd in black cmd window type cd %appdata%/.techniclauncher/tekkit/config press enter type find "NUMBER" *.* press enter this will search all the config files for any line containing the number you enter in the " " and display it, and the " " is required

as i said, first thing to do is update java, the version you have posted will not work with all the mods, you need java 7 secondly without a log it is very hard to see what is going on also how much memory are you allocating to tekkit? do you actually have that memory available for use before you start tekkit? are your video card drivers up to date?

you need to go into the config files for the mods and change the ids of the items being effected to another number not already being used by something else

it seems to be a known problem with 3.1.3, did you update the server to 3.1.3? you could try removing it and see if the problems go away the "issue" with nether ores is actually caused by having an old version of java

java.lang.IllegalArgumentException: Slot 241 is already occupied by codechicken.enderstorage.BlockEnderChest@154b74da when adding ic2.common.BlockRubSapling@ce49f22 looks like your problem, you need to fix the item conflict

http://forums.technicpack.net/threads/tekkit-3-1-2-name-and-permission-error-on-server.31567/#post-264684 wasnt that post of yours a similar problem? and you said you were trying to make a cracked server for friends so dont expect much support