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Attached DWG/DXF files are incorrectly read by QCAD.
They contain splines drawn using ZWCAD and saved as DWG/DXF version 2000.
Above splines are polylines created with autolisp routine which converts spline to polyline, so you can see how splines should actually be drawn.

First spline is created with fit points: 2,2 4,4 6,2
Then copied and applied weight of 2 on central control point.
Then copied again and applied weight of 0.5 on central control point.

Second spline is created with fit points: 6,2 8,4 10,2 with vertical start and end tangent.
Then copied and applied fit tolerance of 1 for fit points.

Third spline is created with fit points: 10,2 12,4 14,2 with horizontal start and end tangent.

Fourth and fifth spline are correctly drawn by QCAD.

Link to bitmap (converted to png) export:
External Link

Versions
QCAD version: 3.13.1.0
Date: Mar 17 2016
Qt version: 4.8.4
Compiler version: gcc 4.4.3
Build Date: Mar 17 2016
Revision:
Architecture: x86_64
OS: Linux
OS version: Unknown