Asking here because it's more game-related task than business-project related.

The following features must be supported:
1. Fast drawing of many(more that 10-100k) single points and small lines.
2. Fast drawing of several (up to 10-100) images with high resolution(~1500x1000), which can be
a) partially out of view
b) all images in view at the same time scaled to small size
c) all in view with big size having transparency
3. Graphic control should be able to take only part of Windows Form (because UI is written using DevExpress)

Currently my choices are OpenTK and MonoGame, but I'm not sure they can do all this easily.

Microsoft has already done the hard job of adapting their Direct3D 11 API for use in apps that require high performance 2D graphics for which GDI+ is insufficent, and it is fully-featured because it's the rendering technology of WPF. The result is what we call Direct2D and DirectWrite.

If you don't mind C++/CLI interop code, I would recommend that you write a C++/CLI wrapper around the D2D features that you need and use that. That is what I did for my game editor in Windows Forms and it's order of magnitudes faster than GDI.

If you don't want to write C++/CLI you can access Direct2D via SlimDX or SharpDX but I had issues with those libraries.

You could try Win2D.

Granted it's win8+, failing that, I'd go with SlimDX (or whatever the best d2d wrapper is) or WPF. Though WPF is likely to die on you, I was never all that impressed with it's performance.