Magister

did you remeber to remove the old mods before updating to the new ones on the server?

forcebindip is a seperate thing you will need to get, and you can add it to your batch file for starting the server, just find it with google and you should be able to figure it out and as far as port 80 even showing as closed your ISP may have closed ports but that should not effect tekkit servers, check any firewall you are running

java.lang.OutOfMemoryError from your error log, tekkit seems to have enough allocated to run you may want to try closing any other programs you have running

you need the server to bind to the hamachi adapter in order to work, you can try setting the hamchi ip in the server properties but that doesnt always work to well, other options you need to manually adjust the metric settings of your adapters so that hamachi as the lowest, or you can adjust the network adapter priority since you are using windows another option would be to launch the server using forcebindip which ever option you decide to try good luck since being unable to forward ports can cause problems, with any of them google will be your friend why are you unable to forward ports?

if you are using java 7 then you should not have this issue and do no need to delete the nether ore mod, if you still get this error after installing java 7 then chances are you still have java 6 install or you system variable path is pointed at java 6 and is trying to use it to launch tekkit

go into the server folder, copy and paste the following folders to some other folder not in the server folder world world_nether world_the_end then go to the mods folder and look for the following file, simply move it out of the mods folder, it is better to back it up than delete it advancedMachines_4.0_bukkit.zip then try starting server and see if you still get the error

it is a conflict with the item ids, you can just go into the tekkit folder and change the numbers in the config files, looks like the conflict is enderchests and ic2, but chances are you may have more you can try deleting and redownload as suggested but the error could occur again or occur with other items

java.lang.NullPointerException i have had this happen with a single person on my server, it ended up being a mod item having the same item id as a vanillia item a simple test is to remove the player file as DarthDavis suggested but you may want to look at any item that was recently given to the player, picked up, or crafted to see if it was caused by a conflict

try backing up your world, remove the advanced machines mod and then start it up double check your tekkit version, is it 3.1.2 or 3.1.3?

first off update your java secondly you need to give an error log error log can be found at %appdata%/roaming/.techniclauncher/tekkit

the ip for the server will be the ip address for the adapter it binds to, generally the one with the lowest metric setting generally you want to keep the ip address field in the properties blank double check your port forwarding and make sure the computer that is running the server has a static address for the port forwarding are you just running it with a forwarded port from your router and people connect to your outside ip? or are you useing a vpn such as hamachi for them to connect?

check any firewall you may have running check to make sure the port is open and being forwarded correctly http://www.canyouseeme.org/

do you have ports forwarded? are you using any vpn such as hamachi?

did you have the server generate a new world or did you try and move your world save over to a new server?

in order to find what is causing the problems connecting to the server a full error log would be helpful, also is this log from the server or the client? if it is the client are you sure the server is starting properly and are others able to connect?

did you remove the old mods before adding the new ones to the folder?

it is caused by another mod looking for forestry, if you do not have forestry installed then it means nothing, as far as i know forestry is not part of tekkit any longer

there is no system variable for java, google will be your friend also jre 6 will cause errors you need to update, but that is unrelated to your problem at hand

advanced machines is its own mod, adding centrifuge extractor, singularity compressor, and rotary macherater http://forum.industrial-craft.net/index.php?page=Thread&threadID=4907

you place it on the first line java -Xmx1G -Xms1G -jar Tekkit.jar nogui -nojline

backup your world and try to generate a new one and see if the errors go away, just to rule things out at the moment

is it a fresh server install for 3.1.3 or did you have a 3.1.2 running and updated it?

it would appear log in server are having problems, that would be what the 503 error generally points to

did you update to 3.1.3 or are you still running the server using 3.1.2? the wirless redstone mod appears to have three zips in the mod folder, you sure you removed them all? and the server should not automaticly download any mods after removale

a few things for you to look at, first you may want to redownload the server and start fresh in order to make sure nothing you have tried earlier is effecting things now secondly "Program Files (x86)" hints that you have a 64 bit OS and perhaps you should try the 64 bit java instead, and you may want to set a system variable for it as well so you dont have to call the full path, google will help you with that third, so you are aware 1024M and 1G are actually the same size try running a fresh server and see what it gives you