In my experience most of the "lead resistance" is contact resistance, which can be subject to fluctuation, especially with older meters as oxidation and grime builds up, and the gold plating wears out.
Auto. The only one it has for resistance unless I push a button to select a particular range. It would be the 600ohm one.
This meter - I didn't use low Z
https://www.keysight.com/us/en/product/U1233A/handheld-digital-multimeter-3-5-digit.html
HP->Agilent->now Keysight. 😉 At the time I bought it I suspect they were trying to give Fluke a run for their money at the medium end. It's not a spectacularly accurate meter but fine for me.
https://www.keysight.com/us/en/assets/7018-02915/data-sheets/5990-7550.pdf
I worked in electronics for rather a long time and generally people would only use Fluke but very high end.
I have this one. Works fine.
https://www.aliexpress.com/item/100...sea!BR!2263504913!&curPageLogUid=QC4TiVSpFIh8
YMC01 Rechargeable Handheld DC Milliohmmeter DC Low Resistance Tester Meter Four Wire Kelvin Measurement
https://www.aliexpress.com/item/100...sea!BR!2263504913!&curPageLogUid=QC4TiVSpFIh8