You are probably correct. Your computer may have some sort of restriction on contacting or downloading any files from servers. You said that your computer is new and new computers sometimes come preinstalled with some weird programs. Check through your programs list and see if there are perhaps any programs that would be causing a connection issue. If you find any programs you are unsure of what they do, check online. My computer came preinstalled with some file sharing program which caused many connection issues and after it was uninstalled, they all vanished. Also, have you ever had any other connection issues on that computer? I am almost positive this is a matter of connection and it doesn't make sense you can't contact 1 set of servers that everyone else can. You most likely are having a connection issue to servers other than Technic's. I am not an expert on Java, but I can tell you that those lines of code are stating "HEY, I CAN'T CONTACT THE TECHNIC SERVERS". When you said "different locations", did you mean on a different network or just somewhere else, but connected to the same network? Check your router settings. It may be rejecting requests from your computer or the servers. Reset your router. Sometimes when the power goes out my router goes haywire. Shutting down the router for a minute or two and then plugging it back in fixes my router. Try disabling the wireless internet card in the router and then turning it back on. I am on a desktop but I do know that laptops sometimes have a button either near the power button or as a FN combination with some key which will shut down the internet card. They usually have a LED light showing their status.
Another question, did Technic ever work before on this new computer?
So start looking at your computer and looking for a reason for bad connection. Is there anything new you installed recently? Did you recently change any settings? Did you recently change your network hardware? These are things you need to ask yourself. I can't give you a solid fix to the problem, but hopefully I was able to point you in the right direction.