@ChosennJuann
Yes the request timed out is why you have no login servers
it is likely a routing issue to your ISP , turning the modem off for 15 min may grab a different IP address and if it is a different enough may not be affected
here is my ping from australia for example
C:\Users\User>ping launchpad.swtor.com
Pinging launchpad.swtor.biowareonline.net [159.153.92.48] with 32 bytes of data:
Reply from 159.153.92.48: bytes=32 time=242ms TTL=240
Reply from 159.153.92.48: bytes=32 time=241ms TTL=240
Reply from 159.153.92.48: bytes=32 time=239ms TTL=240
Reply from 159.153.92.48: bytes=32 time=240ms TTL=240
Ping statistics for 159.153.92.48:
Packets: Sent = 4, Received = 4, Lost = 0 (0% loss),
Approximate round trip times in milli-seconds:
Minimum = 239ms, Maximum = 242ms, Average = 240ms