Mass Effect 3 Load Failed. Cannot connect to server

@YesJustMee 

Try to clear your Origin cache.
All settings in Origin (only in Origin not in the games) are back to default settings after this.)

• Close Origin completely.
  (right click on the Origin symbol in the task bar > close)
• Press the Windows key and "R" at the same time.
• Type or copy and paste "%ProgramData%/Origin" (without quotes) into the new window > hit ENTER
• Delete all the files and folders in the Origin folder, except for the "LocalContent" folder.
  (The "LocalContent" folder must remain untouched.)
• Press the Windows key and "R" at the same time.
• Type or copy and paste "%AppData%" (without quotes) into the new window > hit ENTER
• Now your Windows explorer should have brought you to your "C:\Users\>your user name<\AppData\Roaming" folder.
• Delete the "Origin"  folder inside the "Roaming" folder.
• In the address bar of your Windows explorer click on "AppData".
• Open the "Local" folder.
• Delete the "Origin"  folder inside the  "Local" folder.
• Restart your PC. > test

If that don't helps:

Are you on a private or a public (University) network?

Restart your router in this way:
Pull the power plug > wait 5 minutes > return the power plug

If that also not helps, shut down your Windows firewall and disable the real-time scanner of your antivirus software.. (just for testing purpose, don't forget to activate the firewall and the antivirus software later on.)

Should it work after you disabled the firewall, here is a description how to allow a program to communicate through the firewall.

This ports must be open on your Router:

Origin Ports
TCP: 80; 443; 9960-9969; 1024-1124; 3216; 18000; 18120; 18060; 27900; 28910; 29900
UDP: 1024-1124; 18000; 29900
Me3 Port
Port 3659

Clearing your DNS cache. or testing a google DNS could also help.

If that not helps here is a EA connection troubleshooting guide.