AetherPirate

This snipped from the Technic Discord will fix you:
 
You're running a 32bit Java version on a 64bit Operating System. This will prevent you from allocating more than 1GB of ram to the Technic launcher. In order to update to Java 8 64-Bit, please follow these instructions: 1.) Close the Technic launcher. It should not be running! 2.) Open http://java.com/en/download/manual.jsp in your web browser 3.) Download the version that has 64-bit in it for you operating system. If you're using Windows download the one that says Windows Offline (64-Bit). 4.) After the download is complete. You must install it. You can do so by double clicking on the icon to run it. 5.) After it installs start up the Technic launcher again. 6.) Click on Launcher Options in the top right of the screen. 7.) Click on the tab called Java Settings 8.) Click on the dropdown called Minecraft Java Version and select the option that says 1.8_151 64-Bit. 9.) Click the dropdown called Memory and select an option that's between 2 GB and 4 GB. Do not select an option higher than 4 GB!

You have some Java environment variables being set in your OS
http://download.uskarian.net/technic/clearJavaEnvVars.bat
Will clear them. 

Update your Nvidia driver
http://www.nvidia.com/Download/processFind.aspx?psid=101&pfid=816&osid=19&lid=1&whql=1&lang=en-us&ctk=0

You need 64 bit Java
 
In order to update to Java 64-Bit, please go to the link below and download the version for your computer. If you're using Windows, please use the version Windows Offline (64-Bit). After downloading the updated version of Java. Please click on the installer to install it. http://java.com/en/download/manual.jsp

You must zip it in .zip format, renaming a .rar file to a zip does not make it a zip.

Your SSL certs are broken somehow. This tool may help https://www.digicert.com/util/repair-intermediate-ssl-certificate-errors-using-digicert-utility-for-microsoft-servers.htm
You could also stop by the Technic Discord and drag a log into the chat, the bot there will probably have an SSL fix for you too. 

This is a very, very friendly server. It is refreshing to play on a server with a small but growing community whose primary interest is helping each other out. The primary focus here is building, mostly cooperatively. I am looking forward to stopping back in to play more, after some additional mods have been added (I'm spoiled, need my tech mods).

Your modpack.jar is named modpack.jar.jar. 

Your bin, mods, and config folders are inside another folder, they should not be. Zip then up, and name that modpack.zip
 

1) Don't spam logs, use pastebin
2) Try removing Fastcraft. 

See if the recent Nvidia issue is also an issue for you. If not, use pastebin and paste a new log
 
 

your modpack.jar is named modpack.jar.jar
Uncheck Hide Extensions for Known File Types and fix. 

See if this is your issue:
 

See if this issue is affecting you: 
 
Otherwise pastebin a log. Attachments do not work. And do not allocate more than 4GB of ram. 

Your pack launches for me to the point where is complains about missing AnimationAPI
I bet you have this issue:too:
 

Picked up _JAVA_OPTIONS: -Xmx512M missed it. when the last 1000 problems are X, you think 1001 is X and don't look for Y
 
run this
http://tk.iamtrue.net/clearJavaEnvVars.bat

See if this is your issue:
 

Don't allocate more than 4GB of ram. Make sure you are using your fancy GPU instead of onboard GPU when you start the launcher. 
Pastebin your latest log too, perhaps there is something in there, 

It was the Flans Teams Scores key, I think. 

I tried your Lite pack, saw the same thing. I noticed that 'H' was bound to something else, so I unbound it, and it worked. I had to run to work, did not have time to kill any mobs with hats, but the GUI did come up for me after fixing the key bindings. 

You have 32 bit java, you need 64
In order to update to Java 64-Bit, please go to the link below and download the version for your computer. If you're using Windows, please use the version Windows Offline (64-Bit). After downloading the updated version of Java. Please click on the installer to install it. http://java.com/en/download/manual.jsp
then you can choose to allocate more than 1GB of ram to the launcher, bump it up to 2-3GB
 

Video Instructions: https://www.youtube.com/watch?v=4u7jOu6SpOw 1.) Start the Technic launcher 2.) Click on the button in the very top right of the launcher called launcher options 3.) Click on the Java tab 4.) Click on the memory dropdown 5.) Select a higher or lower amount of ram.

See if this issue is affecting you:
Otherwise, pastebin a log

See if the recent Nvidia update affects you: 
 
If not, pastebin a log, attachments do not work here
 

This is a known bug with tekkit 1.6.4. The culprit is Simply Jetpacks, you can update with https://minecraft.curseforge.com/projects/simply-jetpacks/files/2206512
Note that if you are playing on a server, the server owner and all clients would need this newer jar file