Hello Vignes,
For KV10, you can use only internal pull resistors for SWD. If you desire to use external ones, 10k is the recommended valor. SWD_CLK requires a pull-down resistor, you are using a pull up. As you mentioned you have tested using all combinations, so I believe it is not your problem but it is nice to have it in mind for next projects.
Usually for increase the robustness of your system, a RC filter with a pull-up resistor of 10k and a pull-down cap of 100nF is recommended for RST pin. In KV10 a pull-up resistor is set internally and the RC, besides recommended, is not mandatory. For other devices it can be mandatory.
Another point that could be critical is your connector signal distribution. SWD interface has very high rise/fall times. In case your cable adapter (I am assuming you have an adapter from SWD ARM standard connector to yours, and that all connections are right) is long, it can be a source of problems.
In all ARM standard connectors, for every critical signal it has a gnd/pwr in the adjacent pin. It includes, for example a shield between CLK and Data. It is recommended to always have a shield between these signals. In your case, as board is ready, try to minimize the path without shielding.
Always use 3V for KV10.
If it doesn't work, is it possible to you to share your schematic (send it by private message, please) ?.
Thanks a lot in advance.
Renato