I don't think much will change this month for the reasons already stated. In the summer I think things like a new LB, comp for RB (though I expect young/potential), probably GK too and Karius and Migs will fight it out until the summer when we NEED a top 'keeper.
For Jan, Jese would be a great shout if a loan option was possible, especially as Mane is only away for a few weeks. With DS unreliable and Origi not good enough, a 'front 3' player would be my priority.
Again, Dahoud or Kondogbia would be very welcome, but I'm not sure if Klopp will buy there in Jan as we have some cover for now. That said, I'm hopeful Klopp wants a top CM there to see who else steps up, then we'll have some quality depth there fighting for 2 places alongside Lallana for next season.
Fonte, Kondogbia and Jese loan would be a great window, albeit optimistic I've just copied what the OP suggested...