Since you have no hydraulic and no hydrostat functions the likely place to start looking is the hydraulic pump. The hydraulic pump is at the front of the hydrostat pumps. The hose from the standpipe screen you cleaned is attached to one end of the pump.
Remove the kick panels so you can access the pump. Remove the two hoses and the pump is bolted to the hydro pump with two bolts. Remove these two bolts and the pump can be removed.
Things to check once the pump is out.
1) Check that the hydraulic pump shaft is not broken off.
2) Crank the engine over while watching the hydrostat shaft the hydraulic pump splines into. If it turns the problem is in the hydraulic pump. If the hydro pump shaft does not turn then the connection between the engine and the hydrostat has failed. On the NH machines there is a flex plate attached to the flywheel that drives the hydro pumps. The splines can strip out or the rivets attaching the center hub to the flex plate can fail.
3) If the hydro pump shaft turns then you will need to disassemble the hydraulic pump and check for damage. If none is found then resealing the pump should get you back in service. Be sure to mark the pump before disassembly so you don't get the center section installed backwards. It is normal to see where the gears have rubbed the he center section on the suction side. Check the bushing the gear shafts run in for excessive wear.
Since your loader quit while you were operating it I would suspect item 2 to be your problem.