I think the one on the right is for pulling PLCC devices out of sockets.

I obviously did not apply as I didn't want a third kit that I won't be able to use.

I assume it is indeed a chip-puller for extracting ICs with pins from sockets. Fancy chip-pullers were a big thing back before SMT and when it seemed  most chips were installed in sockets. I think you are right this one is primarily for square chips - grabbing them across diagonal corners.

First one is LAN crimping tool and I'm not familiar with the second one. It looks like a fancy divider.

In the mid 90s we were using ALTERA CPLDs in 44 pin PLCC packages.  We were constantly removing them from sockets on our bread boards so that they could  be used in the programmer at the front of the class.  The extractors looked a lot like the one in your picture.  I seem to remember our devices and sockets getting damaged in the corners over time.

Where is the link?

I bought it for the day I’d become a ‘serious engineer.’
That day never came.
but the tool did.

It exists to remind me that buying tools feels like progress.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     ~ANONYMOUS 

                                                                                                                                                                                                         - me 6 years after buying a multimeter

being serious then multimeter lies at second place ,first place was taken when I recently upgraded my lab to start working with the new Arduino Uno Q. Since it's a high-performance hybrid board with a Qualcomm processor, I was genuinely paranoid about static electricity frying the chips. I went out and bought a professional-grade ESD (Anti-Static) Wrist Strap with the 10mm stud and a high-visibility coiled cord.

On the day the board arrived, I was so excited to wire up my new touchscreen and dive into the Linux side of the Uno Q that I completely forgot the strap existed. I spent six hours debugging I2C signals while wearing a fleece jacket and sitting on a carpeted chair. It wasn't until I was cleaning up my workbench at 2 AM that I found the strap, still neatly coiled in its plastic bag, sitting right under my multimeter.

Now, it has a permanent home hanging on the corner of my monitor—it serves more as a 'lucky charm' than a safety tool. I touch the metal casing of my oscilloscope to ground myself and look at the strap with a mix of guilt and irony every time I power up a new project!

Wow... I don't see it anymore.  I think when I first clicked the first link from balajivan1995 the option to apply for the freebie was there... and now it's not.

A TIG welder is still on my wish list but it would need to be a small precision one to get used.

Nice Question at first. And happy new year from my side.

Technically speaking as a maker, developer or engineer, we have many tools and some are never or rarely opened.

There are many tools like that for me. But for me what is the most in this category are some of the SBC that I have. The reason they are not much used or opened is that it requires a lot of time to develop something that is of use and at the same time we learn from it.

So for me there are some tools that I have used but not that much. There are mainly Single Board Computers.  The reason is sometimes it gets difficult to solve package dependency and configuration related issues on these development boards. It's kind of same like Python packages. We need specific version of specific package to build specific package and so on so forth. Hence, these dev boards are still not so much used in my lab. 

1> Seeed studios ReComputer 1010

2> Beaglebone Black

3> Arty Z7 board from Digilent.

Another question which tool that I wish I would have one? For me I wanted to get some VNAs for tuning my antennas. This is must for RF circuits and I am missing it.