It's the same kind of thing. The LPC-Link2 asserts the NHS3100 reset pin, then deasserts it, then tries to communicate with it, which fails. I would double-check your cabling. It has to be very short if it isn't already. For example 10cm or less.
1. Connect NHS3100 board to J7 on LPC-Link2 2. JP2 on, JP1 off 3. No battery inserted into NHS3100 board 4. Connect LPC-Link2 to your PC -> LED on LPC-Link2 on solid 5. Start Flash Magic -> LED on LPC-Link2 flashes 6. Choose SWD over Link2 in Flash Magic main window 7. ISP -> Read Signature
Your screenshot shows that Flash Magic has been able to communicate with the LPC-Link2.
Your debug file shows that the LPC-Link2 can't communicate with the NHS3100.
Could be due to the cable being too long, not properly seated at both ends. Do you have the battery in? If so remove it. Could be due to static damage. Could be due to configuring the part to disable SWD.
If an item on the ISP menu is disabled then it isn't supported by the bootloader in the part.
The File -> Save As option supports more than 64kb. Note that for the LPC1549 the flash memory range is 0x00000000 -> 0x0003FFFF. The File -> Save As option only supports saving the contents of Flash memory.
The error message you are getting provide a URL where there are debugging steps. What have you tried and what were the results? We don't have your hardware so you are the only one who can debug what you have.