If it worked down, but not up then it has to be the connections.

Usually the fan is powered by the cooling circuit, so that's why I was pretty sure jumping Rc to Rh would work.

What is the brand of the thermostat?

Could the wire be broken?

Sorry I took so long to get back. If you jumped are and g at furnace and blower came on, then you jumped are and g wire at thermostat and blower did not come on, its as simple as this,, the new wire you ran to furnace is no good. By jumping at furnace, you bypassed thermostat and stat wireing. By jumping at stat, you bypassed the stat. Only thing left is the new wire. So here's what you do, run another wire and hook it to g at stat and g at furnace and I all put promise it will cure your problem. Make sure to use actuall themostat wire. Please let me know how you make out. Ill eat my hat if it doesn't work with another new wire. Good luck and please do let us know the outcome.