It is very likely there is a communication / routing error on the internet and cant talk to the bitraider side.
In the bitraider folder is a file called swtor_swtor this should indicate if this is the case.
If this is the case it is either wait or switch to non streaming per this link (it disable bitraider so not used anymore, so no more issue) , if you decide to switch just chnage on one laptop and do one new download, after that in the other laptop delete the bitraider and asset folder then copy and paste the entire game folder from the laptop that downloaded the game again to the one you just deleted the asset folder.
Hope that makes sense, this way you fix both without downloading twice.
