Nice!
The 2nd screenshot is the boot menu for TinyCorePure64 (1st and 2nd options), another options correspond to CorePlus, they look different but are the same as for CorePlus. You may choose any of them and continue exploring TinyCore.
Warning! When I was preparing InstantCore I was not aware of eMMC drives. In description I propose to boot into "base+inflate" and expand the drive space. Please don't do this yet, I need to think a little about changes for inflate.sh. All another options are under Your control, You may load and install extensions, but please not so much, because Your free disk space is limited - until the image will be inflated, but I am not ready yet.
I think You'd continue with those boot option which You already used.
If You'd succeed in connecting to internet from the fresh installation, I'd ask You to share the output of some comaands, which will be necessary for inflate.sh correction.